Assertion (a): In a series circuit, the current is constant throughout the electric circuit.
Reason (R): All electric devices need equal currents to operate properly.

To appear as though the sun is stationary with respect to the passengers, the plane must travel at a speed of about 1670 km/h along the equator of the planet.

How fast must the plane fly in order to make the sun appear to be stationary in the sky? is the query. This is the same as the plane moving in such a way that it cancels out the Earth's axis rotation, which causes the sun to appear to move across the sky.

At the equator, the Earth's circumference is around 40,000 km, and it rotates once every 24 hours. This indicates that the linear speed of a place on the equator of the Earth is roughly 1670 km per hour. So, in order to make the sun appear, the plane must fly at this speed in the same direction as the Earth's rotation, or to the east.

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The mass [tex]m_{2}[/tex] of the hanging block is 20 kg.

A body of coherent matter, typically of undefined form and structure, or maybe even a grouping of incoherent components, components, or things viewed as comprising one body.

Suddenness of movements or operation; promptness; quickness as well as mechanical the measured or counted at which a body's position changes in a specific direction.

For this it is important to assume a tension value, otherwise, it is impossible to determine the value of mass m, in Newton's second law equation.

According to the question,

Initial velocity, [tex]$V_o=0 \mathrm{~m} / \mathrm{s}$[/tex]

Time, t = 3 sec

We know,

[tex]$\Rightarrow y=v_o \times t+0.5 \times a \times t^2$[/tex]

By substituting the values,

0.01 = [tex]0.5 \times a \times(3)^2 \\[/tex]

a = 0.0022 m / [tex]\mathrm{s}^2[/tex]

Hence, T- mg = ma

or,

[tex]$\Rightarrow m & =\frac{T}{g-a} \\[/tex]

[tex]$& =\frac{196}{9.81-0.00222} \\[/tex]

= 20 kg

Therefore the answer is 20 kg.

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The voltage drop across C1 is 10.0 V while C3 experiences a 3.33 V voltage drop in capacitors.

This is seen below. The total capacitance of a number of capacitors connected in this fashion can be calculated by adding the individual capacitances using the method described below: C1 + C2 + C3, etc. = CTotal. An illustration would be to calculate the total capacitance of these three parallel capacitors.

The voltage drop across each capacitor is 10.0 V / 3 = 3.33 V if the voltage drop across C1 is 10.0 V.

Given that C3 is one of the series-connected capacitors, the voltage drop across C3 would also be 3.33 V.

Consequently, if C1 experiences a 10.0 V voltage drop, the 3.33 V is the voltage drop across C3.

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The neutral conductors of different systems should be identified to distinguish the systems by using different colors, by using a tag, or by using other effective means.

The neutral conductors of different systems should be identified to distinguish the systems by using different colors, by using a tag, or by using other effective means. This is to ensure the correct neutral conductor is connected to the correct system and to prevent any confusion when wiring. For example, if a neutral conductor from a 120V system and another from a 240V system are installed in the same raceway, cable or enclosure, they should be identified as such to prevent any wiring mistakes.

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Application of cool pads and spraying of water on the skin lowers the body temperature by increasing the rate of evaporation.

Application of cold water to the skin can be achieved by either sponging patient or using spray bottle. Placing fan to blow directly on patient while also spraying or sponging will increase rate of evaporation, and therefore will more rapidly decrease body temperature

Spraying water on your body helps cool it off because of evaporative cooling. Turning liquid from its liquid state into a gas requires energy. This energy is taken from our body in the form of heat and the resulting heat transfer leads to desired cooling effect.

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On light snow and hard snow, the coulomb friction coefficients were estimated to be 0.03 and 0.05, respectively. In this investigation, the intermediate and final phases of the coulomb friction coefficient were between 0.03 and 0.04. Thus, option B is correct.

The snow exerts kinetic frictional force on the sled's runners, slowing down and ultimately stopping the sled from moving. The coefficient of kinetic friction is 0.050.

Determine the value of the friction force.

[tex]F=uN = [0.05] [5000N] = 250N[/tex]

Here, N is the sledge's normal reaction force.

Write the expression for the work done.

[tex]F = f *d[/tex]

Here, d represents the horizontal distance.

[tex]W= (250)N (1000m) = 2.5 * 10^5 J[/tex]

Therefore, 2.5 * 10^5 The dog team pulls the sledge 1000 meters at a consistent speed to complete the task.

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The given question is incomplete. The complete question is given below:

A sledge (including load) weighs 5000 N. It is pulled on level snow by a dog team exerting a horizontal force on it. The coe�cient of kinetic friction between sledge and snow is 0.05. How much work is done by the dog team pulling the sledge 1000 m at constant speed?

A. 2.5×10^4J

B. 2.5×10^5J

C. 5.0×10^5J

D. 2.5×10^6J

E. 5.0×10^6J

If the rods in your eye were selectively damaged by the supervillain, you would experience reduced vision in dim light and an inability to see color. This is because rods are responsible for vision in low light and do not detect color, while cones are responsible for color vision and work best in bright light.

If the cones in your eye were damaged instead, you would experience reduced color vision and an inability to see clearly in bright light. This is because cones are responsible for color vision and work best in bright light, while rods are responsible for vision in low light and do not detect color.

It really depends on the individual and their needs. If you are a person who spends a lot of time in low light, you may want to keep the rods intact so that you can still see in dim light. On the other hand, if you are someone who needs to distinguish between colors, you may want to keep the cones intact so that you can still see colors.

Yes, this choice would change if you were a nonhuman animal, since different species have different levels of light vision and color vision. For example, some animals, such as cats, have sharper vision in low light, while others, such as birds, have sharper color vision. Depending on the species and the needs of the animal, they may want to keep either rods or cones intact.

The car covers approximately 599.8 feet before coming to a stop, when the brakes are fully applied with a constant deceleration of [tex]46 ft/s^2[/tex].

The problem involves finding the distance covered by a car when the brakes are fully applied and it comes to a stop. To solve this problem, we can use the equations of motion for constant acceleration.

We can solve this problem using the equations of motion for constant acceleration.

First, we need to convert the initial velocity from miles per hour to feet per second:

[tex]50 mi/h = 73.33 ft/s[/tex] (approx)

Next, we can use the following equation to find the distance covered by the car before coming to a stop:

[tex]v^2 = u^2 + 2as[/tex]

where v is the final velocity (which is zero when the car comes to a stop), u is the initial velocity [tex](73.33 ft/s)[/tex], a is the deceleration [tex](-46 ft/s^2)[/tex], and s is the distance covered.

Substituting the values, we get:

[tex]0 = (73.33 ft/s)^2 + 2(-46 ft/s^2)s[/tex]

Simplifying this equation, we get:

[tex]s = (73.33 ft/s)^2 / (2 * 46 ft/s^2) = 599.8 ft[/tex]

Therefore, the car covers approximately 599.8 feet before coming to a stop, when the brakes are fully applied with a constant deceleration of [tex]46 ft/s^2[/tex].

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The world doesn't grow in size to reach a new temperature. Nonetheless, until a new equilibrium is reached, the temperature will rise. Thus, option A is correct.

When competing forces or influences are in a condition of equilibrium, a stable system results from the balance that results from the conflicting influences.

A terrestrial planet's heat budget gets out of balance when it emits less energy, which causes the planet's temperature to drop. The planet must raise its temperature until it radiates energy at the same pace as it receives it in order to reach a new equilibrium.

This process, known as thermal equilibrium, occurs when the amount of energy entering and leaving the system balances out, maintaining a constant temperature. Hence, as a terrestrial planet emits less energy, its temperature rises until a new equilibrium is reached.

Therefore, when less energy is radiated from a terrestrial planet, its Temperature increases until a new equilibrium is achieved.

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The energy of visible light is more as compared to the energy of infrared radiation

Does infrared radiation exceed visible light in intensity?

Accordingly, the frequencies of IR, which range from around 300 Ghz to 400 THz, are greater than those of microwaves but lower than those of visible light. Although longer infrared waves can be felt as heat, infrared light is invisible to the human eye.

Due to their longer wavelengths than visible light, infrared waves can travel across crowded areas of gas and dust in space without being significantly scattered or absorbed. As a result, employing optical telescopes, infrared energy can also show celestial objects that are invisible to the  eye.

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The gravitational strength at your location is 9.71 m/s^2.

The gravitational strength, or acceleration due to gravity, can be calculated using the formula:

g = F/m

where;

In this case, F = 728 N and m = 75 kg.

g = 728 N / 75 kg = 9.71 m/s^2

This is the acceleration due to gravity at the location where you weighed yourself on the high mountain.

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According to Bernoulli's Principle, pressure inside a flowing fluid falls as speed increases. The behaviour of an ideal fluid moving through a pipe or other confined tube, like a pump, is explained by the Bernoulli's Principle. Thus, option B is correct.

It's critical to state the principle accurately because how it is expressed can affect its ramifications. In reality, the Bernoulli principle states that in a flow of constant energy, fluid flow speeds up when it passes through a zone of lower pressure and vice versa.

As the total amount of energy must remain constant (energy conservation), this means that the random molecule energy or pressure must decrease in order for the stream flow energy to increase.

Therefore, pressure decreases when velocity of fluid flow increases.

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They left the Carolina's to join the Iroquois Confederacy this statement about the Native Americans in Carolina is true

In North Carolina, particularly in the eastern region of the colony, a smallpox outbreak decimates the Indian population. Cherokee populations are down by 50% as a result of the outbreak. Indians from the Waxhaw tribe, ravaged by smallpox, leave their homes in modern-day Union County and join the Catawba.

Due to their frequent geographical movements in pursuit of food and other resources, the earliest residents of North Carolina were nomads. Like their forefathers, archaic humans lived nomadic lifestyles.

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The ball travels upward for 2 seconds before reaching its peak height. Please be aware that the ball will drop to the ground in exactly the same amount of time, or 2 seconds. To put it another way, it will take the ball a total of 2 + 2 = 4 seconds to return to the thrower.

The height the ball can reach to in one step is s. The time it takes for the ball to go to its highest point and then to land on the ground is added together to determine how long it takes in total.

Thus, the entire process takes 10 seconds. A vertically thrown ball will eventually have a velocity that is “up” or in a positive direction.

Since it is simply gravity pulling the ball downward, air resistance has no effect on it.

Therefore, four times as high must it be thrown. The ball should be thrown with velocity if one wants to triple the height limit.

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The equation needed to calculate the charge flow Q = I x t

The formula can be utilised to compute current.The electric current,

,in a wire can be found using the formula

=/,

where represents an amount of charge that passes a point in the wire over some amount of time, .

Electric current is the movement of an electric charge. Amperes are the units used to measure electric current. The ampere has the unit sign A.

When studying electricity, both coulombs and amperes are frequently utilised, but it's vital to keep in mind that they measure distinct things. Charge is measured by the coulomb, while the flow of charge is measured by the ampere.

One coulomb of charge passes a spot in a wire in one ampere of current in one second.

Any amount of time can be used to gauge how much charge is transferred; just that it cannot exceed one second.

Simply dividing a charge's amount by the length of time it was measured yields current.

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Magnification is the process of enlarging something. Additionally, it means expanding the seeming size rather than the actual size. It is possible to measure this expansion.

To find the overall magnification of the system, we can use the formula:

M = M1 x M2

where M1 is the magnification of the first lens, and M2 is the magnification of the second lens.

In this case, the first lens has a magnification of -2, which means it produces an inverted image that is two times smaller than the object. So, we have:

M1 = -2

The second lens has a magnification of 3, which means it produces an upright image that is three times larger than the object. So, we have:

M2 = 3

Using the formula, we can calculate the overall magnification of the system:

M = M1 x M2

M = (-2) x 3

M = -6

Therefore, the overall magnification of the system is -6. This means that the final image is inverted and six times smaller than the object.

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In physics, mass is a measure of the amount of matter in an object. It is a scalar quantity that does not depend on the location or environment of the object. Mass is usually measured in kilograms (kg) or grams (g), and it is one of the fundamental properties of matter that is used to describe the behavior of objects in motion. The mass of an object can be determined by weighing it on a scale, and it is different from weight, which is the force that gravity exerts on an object and varies depending on the object's location and the strength of the gravitational field.

Some examples of mass are:

To calculate the work done by the winch in winding the entire chain, the potential energy stored in the chain has to be known when it hangs over the side of the bridge. This potential energy is due to the gravitational force acting on the chain.

The formula for gravitational potential energy is:

U = mgh

Where U is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above some reference point.

In this case, take the reference point to be the level of the bridge.

First, calculate the mass of the entire chain:

mass of chain = length of chain × mass per unit length

mass of chain = 33 m × 3 kg/m

mass of chain = 99 kg

Next, calculate the height of the chain above the bridge.

Since the chain hangs over the side of the bridge, use the full length of the chain as the height:

Height of chain = length of chain = 33 m

Finally, calculate the potential energy of the chain:

U = mgh

U = 99 kg × 9.81 m/s^2 × 33 m

U = 32,455 J

Therefore, the work done by the winch in winding the entire chain in is 32,455 J.

Note that this is the minimum amount of work required to lift the chain, and the actual work done by the winch may be slightly higher due to friction and other factors.

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By the help of potential energy of the spring, so option A) 0.21 m/s is the correct answer.

There is no energy in the spring in its normal state, which is when it is not stretched. However, the spring can store energy when it is in a position that is different from its normal position because of the position. Potential energy is the name for this accumulated energy. The accumulated potential energy as a result of a specific elastic item, such as a spring, deforming is known as the potential energy of the spring. It reflects the labor involved in stretching the spring and is dependent on both the length of the stretch and the spring constant, k.

the energy of the spring = [tex]\frac{1}{2} kx^2[/tex]

so it depends on spring's constant

and change  in length

so it is independent of mass

so, A) remains the same is the correct answer

B) total energy =[tex]0.5mv^2= 0.5\times0.2\times0.3^2[/tex]

total energy =  [tex]9\times10^-3 J[/tex]

v = 0.21 m/s

so 0.21 m/s is the correct answer

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a. The intersections of the field lines with a side of the cube are not uniformly distributed due to the symmetry of electric field lines that converge near the corners of the cube.

b. i. The number of field lines passing through surface element A and surface element B is the same due to the symmetry of electric field lines.

ii. The flux passing through surface element A and surface element B is equal due to the relationship between flux and the number of field lines.

c. The  element will be roughly the same, but as the surface area becomes smaller, the number of field lines passing through each element will become increasingly random and difficult to predict.

What does symmetry of electric field mean?

The symmetry of an electric field refers to the property that the electric field at a point in space is the same regardless of the direction in which it is measured. In other words, if you rotate the coordinate system or change the direction in which you are measuring the electric field, the electric field will have the same magnitude and direction.

For example, the electric field generated by a point charge is spherically symmetric, meaning it has the same magnitude and direction at all points on a spherical surface centered on the charge. This is because the electric field lines emanate radially from the charge in all directions, and the magnitude of the field decreases with the square of the distance from the charge. The symmetry of the electric field can simplify calculations and help predict the behaviour of charges in electric fields.

a. The intersections of the field lines with a side of the cube are not uniformly distributed across that side. This is because the electric field lines emanate from the positive charge in all directions, and as they approach the sides of the cube, they bend and converge toward the corners of the cube. Therefore, the electric field is stronger near the corners of the cube, and the field lines are more closely spaced there. This means that the density of field lines intersecting a given surface area on the cube will be greater near the corners than it is elsewhere.

b. i. The number of field lines through surface element A is equal to the number of field lines through surface element B. This is because the electric field lines emanating from the positive charge are symmetrical in all directions. Therefore, if we consider a small area element on the left side of the cube (such as surface element A), the same number of field lines will pass through that element as will pass through an equal area element on the opposite side of the cube (such as surface element B).

ii. The flux through surface element A is equal to the flux through surface element B. This is because the flux is proportional to the number of field lines passing through a given area, and as stated in (b.i), the number of field lines passing through equal area elements on opposite sides of the cube is equal.

c. If considering the surface element A itself as composed of many even smaller pieces, the number of field lines passing through each small surface element will be roughly the same. This is because the electric field lines are symmetrical and emanate from the point charge in all directions, and so the field lines will be distributed fairly uniformly over the surface area of the element. However, as the surface area of each small element becomes very small, the number of field lines passing through each element will become increasingly random and difficult to predict, due to the statistical nature of electric field lines.

When the region over which looked becomes sufficiently small, the field lines for the positive point charge appear to be radially distributed, emanating from the charge in all directions like the spokes of a wheel. The closer we look to the charge, the more tightly spaced the field lines will become, until they appear to converge toward the charge itself.

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All of the statements are correct:

A form of energy that moves through space at the speed of light is electromagnetic waves. They are produced by the motion of magnetic and electric fields that are parallel to the direction of wave propagation and to each other.

The wavelength or frequency of electromagnetic waves, which determines their energy and other characteristics, is used to categorize them. All forms of electromagnetic radiation, from low-energy radio waves to high-energy gamma rays, are included in the electromagnetic spectrum.

Many commonplace technologies, such as radio and television broadcasting, cell phones, GPS, and medical imaging, depend on electromagnetic waves. As they are employed to investigate far-off stars, galaxies, and other celestial objects, they also play a critical part in our understanding of the universe.

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All statements  are correct:

Light can act both as a wave and a particle.

High frequency photons carry more energy than long wavelength photons.

All electromagnetic waves travel at the speed of light.

A photon is a particle of light.

A form of energy that moves through space at the speed of light is electromagnetic waves. They are produced by the motion of magnetic and electric fields that are parallel to the direction of wave propagation and to each other.

The wavelength or frequency of electromagnetic waves, which determines their energy and other characteristics, is used to categorize them. All forms of electromagnetic radiation, from low-energy radio waves to high-energy gamma rays, are included in the electromagnetic spectrum.

Many commonplace technologies, such as radio and television broadcasting, cell phones, GPS, and medical imaging, depend on electromagnetic waves. As they are employed to investigate far-off stars, galaxies, and other celestial objects, they also play a critical part in our understanding of the universe.

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From the information provided, the velocity of sound in iron is approximately 5120 m/s.

Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. It is defined as the displacement of an object divided by the time interval over which the displacement occurred, and it has both magnitude and direction.

We can use the formula for the velocity of a sound wave:

v = fλ

where v is the velocity of the sound wave, f is the frequency of the wave, and λ is the wavelength of the wave.

Substituting the given values, we get:

v = (2 kHz)(2.56 m) = 5120 m/s

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This impact may have caused Mars' distinctive "two faces" — a high, cratered crust in the southern hemisphere and a smooth, low crust in the northern hemisphere. Thus, option B is correct.

The appearance of a bear's nose is produced by a collapse structure with a V shape. The circular fracture could be the result of a deposit collapsing on top of an impact crater that was buried and later filled with mud or lava.

It's possible that the protrusion resembles a nose is a volcanic or mud vent. Mars may contain the largest impact crater in the solar system, which is covered in lava.

Therefore, the face of a bear appears to be formed on the surface of Mars by a hill with a V-shaped collapse structure, two craters, and a circular fracture pattern, which may represent the remains of a buried impact crater.

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Ball B has more mass than ball A.

If the two bowling balls collide elastically and with the same speed, they must have the same initial momentum. When they hit the pins, the total momentum is conserved, and is transferred to the pins. The net momentum transfer to the pins is zero.

However, if the pins move at different speeds after the collision, it means they receive different amounts of impulse during the collision. Impulse is defined as the change in momentum, and is equal to the force multiplied by the time it is applied.

Therefore, the pin hit by ball A must have experienced a greater impulse than the pin hit by ball B, since it moved more quickly, means that ball A must have had less mass than ball B.

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Answer:

1171,875 N/m^2.

Explanation:

First, we need to calculate the area of each leg of the stool. We can do this by finding the radius of the leg and then using the formula for the area of a circle:

Area = pi * radius^2

Diameter = 2.5 cm = 0.025 m

Radius = Diameter / 2 = 0.025 / 2 = 0.0125 m

Area = pi * 0.0125^2 = 0.00016 m^2

Next, we can find the total force being applied to each leg of the stool by the student by using the formula for weight:

Weight = mass * gravity = 75 kg * 10 m/s^2 = 750 N

Since there are 4 legs, each leg has to support 750 N / 4 = 187.5 N

Finally, we can find the pressure under each leg of the stool using the formula:

Pressure = Force / Area = 187.5 N / 0.00016 m^2 = 1171,875 Pa = 1171,875 N/m^2

So, the pressure under each leg of the stool is 1171,875 N/m^2.

The frequency of electromagnetic radiation with a wavelength of 745 nm appears as red light to the human eye is 2.66 x 10^-19 Joules.

Wavelength of the electromagnetic radiation = 745 nm = 7.45 x 10^-7 m

1m = 1 x 10^-9 nm

Energy of the photon will be given by Plank's equation:

E = hc / λ

E = 6.626 x 10^-34J[tex]\pi[/tex] x 3 x 10^8 m/s / 7.45 x 10^-7m

E = 2.66 x 10^-19 Joules

Electromagnetic radiation is a form of energy that travels through space in the form of waves. This energy is generated by the movement of electric and magnetic fields, which oscillate at right angles to each other. These waves can vary in their frequency, wavelength, and energy, and are classified based on their position on the electromagnetic spectrum.

At one end of the spectrum, we have low-energy, long-wavelength waves, such as radio waves and microwaves, which are commonly used for communication and heating applications. In the middle of the spectrum, we find visible light, which is the only portion of the spectrum that our eyes can detect. At the other end of the spectrum, we have high-energy, short-wavelength waves, such as X-rays and gamma rays, which can be harmful to living organisms in high doses.

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The value of n for the electron emissions will be refer in each of the photoelectric effect, radioactivity. electron microscopy.

Photoelectric effect: In this process, electrons are emitted from a metal surface when light is shone on it. The energy of the incident light is absorbed by electrons in the metal, causing them to be ejected from the surface. "n" could refer to the energy level of the electron in the metal before it is ejected, which would determine the kinetic energy of the emitted electron.

Radioactive decay: Some radioactive isotopes undergo a process called beta decay, in which a neutron in the nucleus decays into a proton, emitting an electron in the process. "n" could refer to the energy level of the electron in the nucleus before it is emitted.

Electron microscopy: In electron microscopy, a beam of electrons is used to image a sample at high resolution. "n" could refer to the number of electrons emitted from the source, which would determine the intensity of the electron beam.

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The length of the air-filled pipe is [tex]v/560[/tex] Hz, where v is speed of sound.

The correct pressure variation graph for the 1120 Hz standing wave in the pipe is the one with two antinodes and one node. The pressure is highest at the antinodes and lowest at the nodes.

To determine the length of the pipe, we can use the formula:

[tex]L = n * (v/2f)[/tex]

where L is the length of the pipe, n is the harmonic number, v is the speed of sound, and f is the frequency of the harmonic.

For the fundamental frequency (the first harmonic), we have:

[tex]L = 1 * (v/2f) = v/2f[/tex]

For the second harmonic, we have:

[tex]L = 2 * (v/2f) = v/f[/tex]

For the third harmonic (1120 Hz), we have:

[tex]L = 3 * (v/2f) = 3v/2f[/tex]

Since the pipe has harmonics at 480 Hz, 800 Hz, and 1120 Hz, we can write:

[tex]v/2L = 480 Hz,[/tex] [tex]v/L = 800 Hz[/tex], and[tex]3v/2L = 1120 Hz[/tex]

Solving for L, we get:

[tex]L = v/(2 * 480 Hz) = v/960[/tex]

[tex]L = v/800 Hz[/tex]

[tex]L = 2v/3360 Hz[/tex]

Since we do not know if there are harmonics below 480 Hz or above 1120 Hz, we cannot use these equations to solve for the length of the pipe. However, we can see that the length of the pipe is proportional to the wavelength of the sound waves in the pipe. The wavelength of the third harmonic is four times the wavelength of the first harmonic, so the length of the pipe must be four times the length of the pipe for the first harmonic. Therefore, the length of the pipe is:

[tex]L = 4 * (v/2 * 1120 Hz) = v/560 Hz[/tex]

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The relationship between the length of the pendulum and the period of oscillation is determined by the fact that the time period T of a simple pendulum is directly proportional to the square root of length l of the pendulum i.e., T∝√l or T2∝l.

Oscillation may be characterized as the methodology of repeating variations of any quantity or measure about its equilibrium value in time. The back-and-forth swinging motion of the bob of a pendulum is known as the oscillation of a pendulum.

The length of the pendulum = 0.5 m

The time duration for 10 oscillations = 81s.

The time duration for 1 oscillation = 81/10 = 8.1 sec.

But when this experiment was conducted at a location that is not near Earth’s surface. The gravitational field may have an effect on it. Due to this, the time taken by one oscillation is increased from 8.1 or more.

Therefore, the relationship between the length of the pendulum and the period of oscillation is determined by the fact that the time period T of a simple pendulum is directly proportional to the square root of length l of the pendulum.

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The time it will take the rocket  to hit the ground is 7.92 seconds

The rocket will hit the ground when its height, h, is equal to zero. To find the time, t, when this happens, we can set h equal to zero and solve for t:

-4.97t^2 + 38.5t + 5.6 = 0

We can use the quadratic formula to solve for t:

t = (-b ± √(b^2 - 4ac)) / 2a

where

a = -4.97,

b = 38.5, and

c = 5.6

Plugging in these values, we solve for time of motion:

t = (-38.5 ± √(38.5^2 - 4(-4.97)(5.6))) / 2(-4.97)

t = (-38.5 ± √(1486.25 + 94.544)) / -9.94

t = (-38.5 ± √(1580.794)) / -9.94

t = (-38.5 ± 39.939) / -9.94

t = (-38.5 - 39.939) / -9.94

t = (78.439) / -9.94

t = 7.92 seconds

Learn more about time of motion here: https://brainly.com/question/2364404

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