The shortest wavelength in the paschen series= [tex]8.2\times 10^{-7}[/tex] m.
How do we calculate the shortest wavelength in the paschen series?Emission lines for hydrogen occur when electrons drop from some energy level to a lower energy level. To calculate the shortest wavelength in the paschen series we are using the formula,
[tex]\frac{1}{\lambda} =R_{H} (\frac{1}{n_{f}^{2} }-\frac{1}{n^{2} } )[/tex]
Here, we are given,
[tex]R_{H}[/tex]= Rydberg constant=[tex]1.09737 \times 10^{7} m^{-1}[/tex]
[tex]n_f[/tex]= The lower energy level quantum number.=3 (for the paschen series).
n= The quantum number of whichever state the transitions occur from = (for this case of the paschen series).
We have to find the wavelength associated with the photon emitted = [tex]\lambda[/tex] m.
Now we substitute the known values in the above equation, we can find that,
[tex]\frac{1}{\lambda} =1.09737 \times 10^{7} (\frac{1}{3^2 }-\frac{1}{\infty^{2} } )[/tex]
Or,[tex]\frac{1}{\lambda} =1.09737 \times 10^{7}\times \frac{1}{9 }[/tex]
Or,[tex]\frac{1}{\lambda} =1,219,300[/tex]
Or,[tex]\lambda= 8.2\times 10^{-7}[/tex] m
From the above calculation we can conclude that the shortest wavelength in the paschen series is [tex]8.2\times 10^{-7}[/tex] m
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A spherical balloon is inflated so that its volume is increasing at the rate of 3.3 ft3/min. how rapidly is the radius of the balloon increasing when the radius is 0.65 feet?
The radius is increasing at a rate of 0.31cm/sec.
We know the volume of the balloon is increasing at a rate of 3.3 [tex]ft^{3} min[/tex]
This is expressed as:
[tex]\frac{dV}{dT}[/tex] = 3.3
The volume of a sphere is given by:
V = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]
The question asks to find the rate of which the radius is increasing when the radius is 0.65 feet.
We need to find:
[tex]\frac{dr}{dt}[/tex]
Since we don't have t in our equation, we will be differentiating implicitly. We can use the chain rule for this:
[tex]\frac{dV}{dT}[/tex] = [tex]\frac{dV}{dR}[/tex].[tex]\frac{dr}{dt}[/tex]
We already know
[tex]\frac{dV}{dT}[/tex] = 3.3
∴
3.3 = [tex]\frac{dV}{dR}[/tex].[tex]\frac{dr}{dt}[/tex]
To find [tex]\frac{dV}{dR}[/tex] we differentiate V = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]
∴
3.3 = 4[tex]\frac{3.3}{5.30}[/tex][tex]r^{2}[/tex].[tex]\frac{dr}{dt}[/tex]
Dividing ,
[tex]\frac{3.3}{5.30}[/tex] = [tex]\frac{dr}{dt}[/tex] = 0.622 ft/min = 0.31 cm/sec
The radius is increasing at a rate of 0.31cm/sec.
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We see a full moon by reflected sunlight. How much earlier did the light that enters our eye leave the sun? the earth-moon and earth-sun distances are 3. 8 x 105 km and 1. 5 x 108 km
The time taken by the light reflected from sun to reach on earth will be 8.4 minutes.
To find the answer, we need to know about the distance travelled by light.
How to find the time taken by the light reflected from sun to reach on earth?So, in order to solve this problem, we must first know how far the moon is from Earth and how far the Sun is from the moon. These distances are given as 3.8×10^5 km (Earth-Moon) and 1.5×10^8 km (Sun- Earth). Since the Moon and Sun are on opposite sides of Earth during a full moon, the light's distance traveled equals,[tex]d=(1.5*10^8km)+2(3.8*10^5km)=1.51*10^8km=1.51*10^{11}m[/tex]
As we know that light travels at a speed of 300,000 km per second. then, the time taken by the light reflected from sun to reach on earth will be,[tex]t=\frac{1.51*10^{11}}{3*10^8}=503.33 s\\t=\frac{503.33}{60}=8.4min[/tex]
Thus, the time it takes for the light from the Sun to reach Earth and be recognized as 8.4 minutes.
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What observational evidence supports the idea that mercury once shrank by some 20 kilometers in radius?
Q.9 And Q.10 correct answer with explaination
The option c will be correct in Q10.
What is angular velocity?Time rate at which an object rotates about axis or at which angular displacement between two bodies changes.
We have given is
r=4i , angular acceleration = 4j
v= radius×angular acceleration
v= 4i ×k
v=16j
When we cross i× k = j
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What is the energy (in ev) of an x-ray photon that has a wavelength of 2. 4 nm ?
_______________
λ=2,4 nm = 2,4·10⁻⁹ m
c=3·10⁸ m/s
h=6,63·10⁻³⁴ J·s = 4,14·10⁻¹⁵ eV·s
_______________
E - ?
_______________
[tex]\displaystyle \boldsymbol{E}=h\nu =h \frac{c}{\lambda} =4,14\cdot 10^{-15} \; eV\cdot s\cdot \; \frac{3\cdot 10^8\; m/s}{2,4\cdot 10^{-9}\; m} =517,5\; eV\approx \boldsymbol{518\; eV}[/tex]
Savanna regions developed during the Triassic period.
Please select the best answer from the choices provided
T
F
How many joules of energy will a stock tank heater rated at 1500 watts use in a 24 hour period?
A stock tank heater rated at 1500 watts will use 1,29,600 kJ of energy in a 24 hour period.
Given :
Power = 1500 WTime = 24 hours = 24 x 3600 sec = 86,400 secWe know that
Energy = Power x time
E = P * t
E = 1500 x 24 x 3600
E = 129600000 J ( or 129600 kJ)
Hence, a stock tank heater rated at 1500 watts will use 1,29,600 kJ of energy in a 24 hour period.
The formula that links energy and power is:
Energy = Power x Time.
The unit of energy is the joule, the unit of power is the watt, and the unit of time is the second.
If we know the power in watts of an appliance and how many seconds it is used we can calculate the number of joules of electrical energy which have been converted to sortie other form.
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While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at a constant speed of 2. 4 m/s relative to the surface of the walkway, you decide to try to determine the speed of the walkway itself. You watch the child run on the entire 18-m walkway in one direction, immediately turn around, and run back to his starting point. The entire trip takes a total elapsed time of 32 s. Given this information, what is the speed of the moving walkway relative to the airport terminal?.
Speed of walkway = 1.84 m/s
let x=speed of walkway
then (2.8+x)= speed of child moving in direction of walkway
then (2.8-x)= speed of child moving against direction of walkway
Travel time=distance/speed
travel time of child moving in direction of walkway=23/(2.8+x)
travel time of child moving in direction of walkway=23/(2.8-x)
total elapsed time given=29s
23/(2.8+x)+23/(2.8-x)=29
LCD=(2.8+x)(2.8-x)
23(2.8-x)+23(2.8+x)=29(2.8+x)(2.8-x)
23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)
23(2.8+2.8)/29=2.8^2-x^2
x^2=(2.8)^2-(23*5.6)/29)=3.4
x=sqrt(3.4)=1.84m/s
Speed of walkway = 1.84 m/s
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Find the magnitude of this
vector:
Answer: = 25. 5 m
Explanation:
2-D vectors can be solved using the Pythagorean theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]The hypotenuse, or longest side is not given and that is what must be solved forDirection can be omitted as the question only asks for magnitudeMagnitude: is the distance or quantity in which an object moves during motionSolve for C using Pythagorean theorem:
1. [tex]\sqrt{a^{2}+b^{2} }=c[/tex]
2. [tex]\sqrt{22.2 m ^{2} +12.6m^{2} } =c[/tex]
3. [tex]25.52646 m= c[/tex]
round to lowest number of significant digits when dividing and multiplyingrounded to 3 significant digits∴ Magnitude of the vector is 25.5 m
The reason the position of a particle cannot be specified with infinite precision is the?
The reason the position of a particle cannot be specified with infinite precision is the uncertainty principle .
The position of a particle moving in a straight line is a vector which represents a point P on the line in relation to the origin O. The position of a particle is often thought of as a function of time, and we write x(t) for the position of the particle at time t.
The Heisenberg uncertainty principle is a law in quantum mechanics that limits how accurately you can measure two related variables. Specifically, it says that the more accurately you measure the momentum (or velocity) of a particle, the less accurately you can know its position, and vice versa.
The uncertainty principle (for position and momentum) states that one cannot assign exact simultaneous values to the position and momentum of a physical system. Rather, these quantities can only be determined with some characteristic “uncertainties” that cannot become arbitrarily small simultaneously
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A particle with charge 5. 0 μc is placed at the corner of a cube. the total electric flux through all sides of the cube is:_____.
A particle with a charge of 5. 0 μc is placed at the corner of a cube. the total electric flux through all sides of the cube is 7.1 × [tex]10^4 Nm^2/C[/tex].
Electric flux:Electric flux is a measurement of how many electric field lines are present at any given surface. It has a scalar value. Voltmeters are its SI unit. Gaussian Law It is known as a closed surface when the total flux linked inside it is equal to one zero times the total charge contained within it.
The electric flux is positive when electric lines emerge from a surface and negative when the same lines enter a surface.
Flux through any surface is given by;
Φ[tex]= \frac{Q}{E}[/tex]
Where, E = The magnitude of the electric field.
Q = The charge of the particle.
If a corner atom is shared by eight neighboring such cubes, then one- eight part of the corner atom or particle contributes to each cube.
Φ [tex]= \frac{Q}{8E}[/tex] = [tex]\frac{5 * 10^-^6}{8*8.5 * 10^-^1^2}[/tex]
= 7.1 × [tex]10^4 Nm^2/C[/tex]
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Compute the velocity of an electron that has been accelerated through a difference of potential of 100 volts. express your answer in meters per second
The velocity of an electron that has been accelerated through a difference of potential of 100 volts will be 5.93 * [tex]10^{6}[/tex] m/s
Electrons move because they get pushed by some external force. There are several energy sources that can force electrons to move. Voltage is the amount of push or pressure that is being applied to the electrons.
By conservation of energy, the kinetic energy has to equal the change in potential energy, so KE=q*V. The energy of the electron in electron-volts is numerically the same as the voltage between the plates.
given
charge of electron = 1.6 × [tex]10^{-19}[/tex] C
mass of electron = 9.1 × [tex]10^{-31}[/tex] kg
Force in an electric field = q*E
potential energy is stored in the form of work done
potential energy = work done = Force * displacement
= q * (E * d)
= q * (V) = 1.6 × [tex]10^{-19}[/tex] * 100
stored potential energy = kinetic energy in electric field
kinetic energy = 1/2 * m * [tex]v^{2}[/tex]
= 1/2 * 9.1 × [tex]10^{-31}[/tex] * [tex]v^{2}[/tex]
equation both the equations
1/2 * 9.1 × [tex]10^{-31}[/tex] * [tex]v^{2}[/tex] = 1.6 × [tex]10^{-17}[/tex]
[tex]v^{2}[/tex] = 0.352 * [tex]10^{14}[/tex] m/s
[tex]v^{2}[/tex] = 35.2 * [tex]10^{12}[/tex]
= 5.93 * [tex]10^{6}[/tex] m/s
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Question 9 of 10
Which of the following is an example of the strong nuclear force acting in an
atom?
A. A proton repelling a proton
B. A neutron attracting a neutron
C. A neutron repelling an electron
OD. An electron attracting a proton
A atomic neutron particle that is attracting another atomic neutron is an example of the strong nuclear force acting in an atom (Option B).
What are nuclear forces?The expression 'nuclear forces' makes reference to the attraction between different subatomic particles in a given nucleus of a particular atom, which represents the strongest force in the universe.
Subatomic particles include positively charged particles (i.e., protons), neutrally charged particles called neutrons, and electrically negative charged particles called electrons (e-).
In conclusion, a atomic neutron particle that is attracting another atomic neutron is an example of the strong nuclear force acting in an atom (Option B).
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Which would be represented by FN on a force diagram?
O Northern Force
O Newton Force
O Normal Force
O Negative Force
The acronym FN on a force diagram would represent Normal Force. That is option C.
What is a force diagram?A force diagram is the type of diagram that illustrates the different types of forces acting on an object.
The types of forces that can be represented by a force diagram include the following:
Applied Force.Gravitational Force.Normal Force.Frictional Force.Air Resistance Force.Tension Force.Spring Force.The normal force (FN) is the force that is acting of the object which is perpendicular to the surface the object is in contact with.
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Answer:
C~
Explanation:
Fn is normal, if it's negative then it's most likely -Fn.
Have a good day.
A sound wave has a speed of 340 m/s and a frequency of 1000 hz. The period of the sound is closest to?
The frequency and the period are inversely proportional.
[tex]f=\dfrac{1}{T}[/tex] where T is the period
Solving the QuestionWe're given:
v = 340 m/sf = 1000 HzBecause the frequency and the period are reciprocals of each other, we can find the period of the sound by finding the reciprocal of the frequency:
[tex]T=\dfrac{1}{1000}[/tex]
Answer[tex]T=\dfrac{1}{1000}[/tex]
Research how generators and transformers are used. Explain how faraday’s law is applied and why the designs are practical and therefore widely used?
The “Generators” generate current, and transformers convert between current and voltage. According to Faraday's law, the magnetic flux enclosed by a closed path changes at a time rate whose negative is equal to the electromotive force surrounding the way.
Generators are machinery that transforms mechanical energy into electrical energy. A static device called a transformer is used to move electrical energy from one circuit to another. Magnetic coupling and electrical separation characterize a transformer.
A fundamental property of electromagnetism known as Faraday's law of induction describes how a magnetic field will interact with an electric circuit to produce an electromotive force or electromagnetic induction.
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convert 0.74ev to joules
When you apply a force, f, to an object you get an acceleration of 2m/s2. If you apply the same force to an object with twice the mass, what is the acceleration? m/s.
The consequent acceleration, in, is caused by doubling the net force, F, acting on the same object.ms^-2 is going to 2a.What is net force?The vector sum of the forces exerted on a particle or body is known as the net force. As with all actual forces combined, its corresponding torque, or net force, forms the resultant force and affects the object's rotational motion. A torque-free resultant force may be defined by a system of forces.Learn more about net force with the help of given link:https://brainly.com/question/18038995#SPJ4
The acceleration would be 1m/s²
What is Force?
putting pressure to a door to push or pull it. Because force is a vector variable, it has both magnitude and direction. Force is defined as the "product of mass and acceleration of a body," in accordance with Newton's second law.
Acceleration - any process that alters velocity. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.
if the force applied is f
the mass of the object is m
and acceleration is a = 2m/s²
so the relation will be,
f = ma
f = m×2
ATQ,
Now, when mass is 2m
a = f/m
a = 2m / 2m
a = 1 m/s²
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In a regression analysis, if sse = 200 and ssr = 300, then the coefficient of determination is:_________
0.600
In a regression analysis, if sse = 200 and ssr = 300, then the coefficient of determination is: 0.600
1. You have that the data set having SSR=300 and SSE=200
2. Therefore you have the coefficient of determination is:
r²=SSR/SSTO
SSTO=SSR+SSE
3. Then, when you substitute the values, you obtain:
SSTO=200+300
SSTO=500
r²=300/500
4. So, you have that the result is:
r²=0.6
As a result, as you can see, the solution to the previous exercise is that the coefficient of determination is 0.6
What exactly is the connection between SST, SSR, and SSE?The difference between SST and SSR is the amount of Y's variability that is still unaccounted for after using the regression model, also known as the sum of squared errors (SSE). Sum of squares of residual can be used to directly calculate SSE.To learn more about regression analysis visit:
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An object having a fixed emissivity of 0. 725 radiates heat at a rate of 10 w when it is at an absolute temperature t. If its temperature is doubled to 2t. At what rate will it now radiate?.
160 W rate it will radiate.
What, using an example, is absolute temperature?The Kelvin scale, where 0 represents absolute zero, is used to measure absolute temperature. The temperature at which matter's particles move the least and cannot cool down is known as the zero point (minimum energy)
What is the temperature's absolute value?The lowest energy state for a thermodynamic system is absolute zero. In terms of temperature, it is equivalent to 459.67 °F in Fahrenheit and 273.15 °C in Celsius.
Why is absolute temperature used?The temperature of an object on a scale where 0 is assumed to be absolute zero is known as its absolute temperature, also known as thermodynamic temperature. The Kelvin and Rankine scales measure absolute temperature.
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An astronomer is studying galaxies of stars that are very far away and thus look extremely faint (using visible light). What kind of telescope should she and her graduate students apply for time on?
If the galaxies that are being studied are very far away, it follows that the telescope with the biggest aperture possible should be used.
What is a telescope?A telescope is a device that is used for the study of the outer space. The telescope can be mounted in an observatory and then used to observe the various galaxies that exist out there in space.
There are various kinds of telescopes that could be used for different kinds of studies that take place in outer space and these telescopes are quite responsible for the breakthroughs that we have so far experienced in the study of the occurrences in outer space.
Thus, if the galaxies that are being studied are very far away, it follows that the telescope with the biggest aperture possible should be used.
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Given that ethylene has a λmax of 175nm, butadiene has a λmax of 220nm, and 2-methyl-1,3-butadiene has a λmax or 215nm, what is the λmax of 2,3,4-trimethylhexatriene?
The λmax of 2,3,4-trimethylhexatriene is 280 nm.
Ethylene has a λmax of 175nm.
Butadiene has a λmax of 220nm.
2-methyl-1,3-butadiene has a λmax or 215nm.
1,3,5-hexatriene has a λmax of 258nm.
Woodward's rules, sometimes known as Woodward-Fieser rules (after Louis Fieser) and named after Robert Burns Woodward, are a number of sets of empirically developed principles that aim to forecast the wavelength of the absorption maximum (max) in an ultraviolet-visible spectrum of a certain molecule.
By using the Woodward Fieser rule,
R- (Alkyl Group) .... +5 nm = 5 × 2 = 10
RO- (Alkoxy Group) .. +6 = 6 × 2 = 12
Adding 22nm to the λmax of 1,3,5-hexatriene as it has 2 alkyl groups and 2 alkoxy groups to form 2,3,4-trimethylhexatriene.
The λmax of 2,3,4-trimethylhexatriene is 280 nm.
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For typical rubber-on-concrete friction, what is the shortest time in which a car could accelerate from 0 to 70 mph? suppose that μs=1. 00μs=1. 00 and μk=0. 80μk=0. 80
The shortest time in which a car could accelerate from 0 to 70 mph is 3.193 seconds.
To find the answer, we have to know more about the friction.
How to find the shortest time?We have the expression for final velocity as,[tex]v=u+at[/tex]
It is given in the question that,[tex]v=70mph=31.29m/s\\1mile=1609.3m,1hour=3600s\\u=0\\k_s=1\\k_k=0.8[/tex]
It is given that; the car could accelerate from 0 to 70mph. Thus, acceleration will be,[tex]a=g*k_s=9.8*1=9.8m/s^2[/tex]
Thus, the shortest time will be,[tex]t=\frac{v-u}{a} \\t=\frac{31.29}{9.8}=3.193s[/tex]
Thus, we can conclude that, the shortest time in which a car could accelerate from 0 to 70 mph is 3.193 seconds.
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If one oscillation has 5. 8 times the energy of a second one of equal frequency and mass, what is the ratio of their amplitudes?
The ratio of their amplitudes will be 2.41.
To find the answer, we have to know more about the simple harmonic motion.
How to find the ratio of their amplitudes?It is given that,[tex]E_1=5.8E_2\\m_1=m_2 \\\omega_1=\omega_2[/tex]
We have the relation between these quantities and amplitudes as,[tex]A=\sqrt\frac{2E}{k} \\k=m\omega^2[/tex]
Here, for both the oscillation, k will be same.Thus, the ratio of amplitude will be,[tex]\frac{A_1}{A_2} =\sqrt{\frac{E_1}{E_2} } =\sqrt{\frac{5.8E_2}{E_2} } =2.41[/tex]
Thus, we can conclude that, the ratio of their amplitudes will be 2.41.
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Stellar occultations are the most accurate way to measure the _________ of a solar system object
Answer:
del mundo
Explanation:
The ________ explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.
The nebular hypothesis explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.
What is Nebular hypothesis?The most widely accepted theory in cosmogony to explain how the solar system formed and evolved is the nebular hypothesis. It implies that gas and dust orbiting the sun are what created the solar system.
Following are the steps in nebular theory:
As part of the cloud of gas and dust condenses into a core and becomes a protostar, the nebula changes into a solar nebula. The material condensing might have been brought on by a nearby supernova shockwave. An accretion disk is formed as the protostar's surrounding material disintegrates.How did the solar system form, according to the nebular hypothesis?The nebular hypothesis states that enormous clouds of hydrogen and helium imploded. The cloud's center heated up significantly after collapsing. The system then started to rotate as it became hotter and more compressed. The formation of the solar system started at this point.
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What is the wavelength in air of red light from a helium neon laser?
Answer:
632.8 nm is the wavelength (in air) of red light from a helium neon laser.
Find the critical value of t for a two-tailed test with 14 degrees of freedom using = 0. 5
The critical value of t for a two-tailed test with 14 degrees of freedom using = 0. 5 is ±164.5577.
In hypothesis testing, critical values are one of the two approaches which allow you to decide whether to retain or reject the null hypothesis.
The critical value approach consists of checking if the value of the test statistic generated by your sample belongs to the so-called rejection region, or critical region, which is the region where the test statistic is highly improbable to lie. A critical value is a cut-off value (or two cut-off values in case of a two-tailed test) that constitutes the boundary of the rejection region(s). In other words, critical values divide the scale of your test statistic into the rejection region and non-rejection region.
To determine critical values, you need to know the distribution of your test statistic under the assumption that the null hypothesis holds. Critical values are then the points on the distribution which have the same probability as your test statistic, equal to the significance level α. These values are assumed to be at least as extreme at those critical values.
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Due to interference with reflections off the water, certain wavelengths will be weak when they reach the balloon. What is the maximum wavelength λ that will interfere destructively?.
The maximum wavelength that will interfere destructively is [tex]$\lambda=\frac{2 h x}{d}$[/tex]
The maximum wavelength that will interfere constructively is [tex]$\lambda=\frac{4 h x}{d}$[/tex]
What is Wavelength?Wavelength is the distance between equivalent points (adjacent crests) in the adjacent cycles of a waveform signal reproduced in space or along a wire. In wireless methods, this length is usually established in meters (m), centimeters (cm), or millimeters (mm).Wavelength (λ) - The wavelength of light is represented as the distance between the crests or channels of a wave motion. 2. Frequency (f) - Commonness is the number of occurrences of a repeating occurrence per unit of time. In the case of light, commonness refers to the numeral of times a wavelength is repeated per moment.wavelength: The length between one peak and the next in a sequence of waves, or the distance between one channel and the next. It's also one of the “yardsticks” used to calculate radiation.To learn more about Wavelength, refer to:
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Hazel is analyzing the written information and the image she found. Figure 1 shows that low-frequency radiation is generally considered to be non-ionizing, while high-frequency radiation is generally considered to be ionizing. Use the drop-down menus to complete the statements that support this.
Low-frequency electromagnetic waves have (low-high)
energy. High-frequency electromagnetic waves have (low-high)
energy. High-frequency waves are (more-less)
likely to ionize an atom because of their greater (energy-speed)
.
High-frequency waves are (more-less) likely to ionize an atom because of their greater (energy speed) for low- radiofrequency is generally considered to be non-ionizing, while high- radiofrequency is generally considered to be ionizing.
Microwaves and radio waves are examples of radiofrequency (RF) radiation, which is at the low-energy end of the electromagnetic spectrum. It belongs to the non-ionizing radiation class. Non-ionizing radiation lacks the energy to expel an atom's electrons.
A minimally invasive procedure known as radiofrequency ablation, or RFA, reduces the size of tumors, nodules, and other growths in the body. RFA is used to treat a variety of ailments, such as benign and cancerous tumors, chronic venous insufficiency in the legs, and persistent back and neck pain.
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