(a) The electric field strength at a point 1.00 cm to the left of the middle is 2.0 x 10⁷ N/C.
(b) The magnitude of the force is 94.4 N and direction of the force on it towards the left.
Electric field strengthThe electric field strength at a point 1.00 cm to the left of the middle is calculated as follows;
E = kq/r²
Electric field due to first chargeE1 = (9 x 10⁹ x 6 x 10⁻⁶)/(0.02)²
E1 = 1.35 x 10⁸ N/C
Electric field due to second chargeE2 = -(9 x 10⁹ x 1.5 x 10⁻⁶)/(0.01)²
E2 = - 1.35 x 10⁸ N/C
Electric field due to third chargeE3 = - (9 x 10⁹ x 2 x 10⁻⁶)/(0.03)²
E3 = -2.0 x 10⁷ N/C
Net electric fieldE = E1 + E2 + E3
E = +1.35 x 10⁸ N/C - 1.35 x 10⁸ N/C - (-2.0 x 10⁷ N/C)
E = +2.0 x 10⁷ N/C
Force on the charge −4.72 µCF = Eq
F = 2.0 x 10⁷ x -4.72 x 10⁻⁶
F = -94.4 N
Thus, the direction of the force will be towards the left.
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Show that time period of revolution an electron beam in uniform magnetic field is independent of velocity and radius of path
Since T = 2πm/Be the period of revolution of the electron is independent of velocity and radius of path
How to show that time period of revolution an electron beam in uniform magnetic field is independent of velocity and radius of path?For an electron moving in a uniform magnetic field, the force on the electron is given by
F = Bev where
B = magnetic field, e = electron charge and v = speed of electronAlso, this magnetic force equals the centripetal force on the electron, F'
F' = mv²/r where
m = mass of electron, v = speed of electron and r = radius of pathSince both forces are equal,
F = F'
Bev = mv²/r
Be = mv/r
We know that angular speed, ω = v/r. So,
Be = mω
Also, angular speed, ω = 2π/T where T = period of revolution of electron
So, Be = m2π/T
Making T subject of the formula, we have
T = 2πm/Be
so, since T = 2πm/Be the period of revolution of the electron is independent of velocity and radius of path
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As mass increases, which of the following is always true?
a. volume decreases
b. density decreases
c. inertia increases
d. all of these
As mass increases, the following which is found to be always true is a corresponding increase in the inertia and is therefore denoted as option C.
What is Inertia?This is defined as the property of a body to resist changes in velocity or motion. Such feature is characterized by the body having the tendency to remain at rest or in uniform motion unless an external force acts on it.
When mass increase, inertia also increases due to the large amount of force which is needed to change the direction or motion of a body in this scenario. On the other hand, when mass decreases, there is a corresponding decrease in the inertia which is present in a given body over a period of time.
This is therefore the reason why mass of a body is directly proportional to its inertia and makes it the most appropriate choice.
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Identify two fields where physical quantities are used in motion calculations
The two fields were physical quantities are used in motion calculations are length and mass with time.
The physical quantity in a field is referred as every point in a particular space time.
How physical quantities are used in motion calculations?
If we consider an object, the physical property of the object is considered as physical quantity and to measure that object is known as units. The Physical quantity can be classified as elemental physical quantity and derived physical quantity. Length, mass, time, etc.. are elemental physical quantity, momentum, density, acceleration, etc... are derived physical quantity. Only for charge and temperature the physical quantity will be less than zero.
Length, mass and time are the physical quantities used in motion calculations.
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A thin-walled hollow sphere has a radius 4cm from the center
of the sphere, the eletric field points radially inward and
has a magnitude of 1.5 × 10^4 NC". How much charge is on the surface
The electric charge on surface is 2.66×10-⁹NC
What is an electric charge?The electric charge is the property of subatomic particle that causes it to experience a force when placed in an electric and magnetic field.
We have given ,
Electric field= 1.5×10⁴N/C
Radius = 4cm = 0.04m
E = k× q/ r²
1.5×10⁴×16×10-⁴/9×10⁹=q
q= 2.66×10-⁹C
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The revolution of the earth around the sun demonstrate what motion?
Answer:
Anticlockwise directions
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the meaninn of dynamics
Answer:
Dynamics is just a nice word used in physics denoting a branch of physics, related to the study of forces. Usually these forces are not in mechanical equilibrium, else the branch would be statics.
What phase of matter is pictured below? Image of particles that are spread out, many are not touching, high energy. A. Gas B. Bose-Einstein condensate C. Fermionic condensate D. Plasma
Option(d)i.e, Plasma is the Image of particles that are spread out, many are not touching, high energy.
Along with solid, liquid, and gas, plasma is frequently referred to as the "fourth state of matter." Heating a gas will result in the formation of plasma, which is a soup of positively and negatively charged particles (ions), similar to how adding energy causes a liquid to boil and transform into a gas (electrons).
Plasmas are less dense than solids or liquids and, like gases, have no set structure or volume. However, in contrast to regular gases, plasmas are composed of atoms in which part or all of the electrons have been removed and positively charged nuclei, known as ions, are free to move around.
Solids, liquids, gases, ionized plasma, quark-gluon plasma, bose-einstein condensate, and fermionic condensate are the seven states of matter.
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A sine bar is used to determine the angle of a part feature. The length of the sine
bar=8.000in. The rolls have a diameter of 1.000 in. All inspection is performed on a surface plate. In
order for the sine bar to match the angle of the part, the following gage blocks must be stacked: 2.0000,
0.5000, 0.2500, and 0.0050. Determine the angle of the part feature.
A sine bar is used to get the angular measurement of a part feature. The angle of the part feature is 18.24°
From the question
Given that,
Length of the sine bar, L = 8.000 in
Diameter of the rolls = 1.000 in
Height under the roll, H = 2.0000 + 0.5000 + 0.0050
= 2.505 in
From sine bar formula,
we know that,
H = sin A x L
sin A = H ÷ L
where,
A ⇒ angle of part feature
H ⇒ height under the roll
L ⇒ length of the sine bar
Substituting values in the above equation,
sin A = H / L
A = sin⁻¹ ( 2.505 ÷ 8 )
A = sin⁻¹ (0.3131)
A = 18.24⁰
Hence the angle of the part feature = 18.24°
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what is relative density of a substance
Answer:
Relative density is the ratio of the density of a substance to the density of a standard, usually water for a liquid or solid, and air for a gas.
Lifting a 81-kg barbell and weights from rest up to a speed of 1.0 m/s in 0.50 s, resisted by the combined weight of the barbell and weights, requires what applied force in N to two significant digits?
Answer:
960 N
Explanation:
answer should have two signif digits
a = change in velocity divided by change in time
1 m/s / .5 s = 2 m/s^2
F = ma a = g + 2 m/s^2 = 9.81 + 2 = 11.81 m/s^2
81 kg * 11.81 m/s^2 = 956.61 N = ~ 960 N (two sig digits)
(Please let me know if this is incorrect....I am not SURE )
3 A rocket of mass 1200 kg is travelling at 2000 m/s. It fires its engine for 1 minute. The forward thrust provided by the rocket engines is 10 kN (10 000 N).
(i) Use increase in momentum = F x t to calculate the increase in momentum of the rocket.
(ii) Use your answer to a to calculate the increase in velocity of the rocket and its new velocity after firing the engines.
The impulse shared by the object equals the difference in momentum of the object. In equation form,
F • t = m • Δ v. In a collision, objects experience an impulse; the impulse causes and is equal to the difference in momentum.
How to calculate thrust provided by the rocket engines is 10 kN (10 000 N).?
a)There is this impulse-momentum change equation.
[tex]where m$ is the mass of a body, $F$ is a force acting to the body, $t$ is time and $D E L A T A N\}=V_{2}-V_{1}$ is the change of velocity.We consider everything is happen along a straight line, and gravitation does not participate.So, the increase of momentum is $\mathrm{F}^{*} \mathrm{t}=10000 \mathrm{~N} * 60$ seconds $=600000 \mathrm{~N}^{*} \mathrm{~s}=600000\left(\mathrm{~kg}^{*} \mathrm{~m}\right)^{*} \mathrm{~s} / \mathrm{s}^{\wedge} 2=600000 \mathrm{~kg}{ }^{*} \mathrm{~m} / \mathrm{s}$.[/tex]
We consider everything exits happen along a straight line, and gravitation does not participate.
So, the increase of momentum is F×t = 10000 N × 60 seconds = 600000 N*s = 600000 (kg*m)*s/s^2 = 600000 kg*m/s.
[tex]$$\Delta(\mathrm{V})=\frac{\mathrm{F.t}}{\mathrm{m}}=\frac{600000}{1200}=500 \mathrm{~m} / \mathrm{s} .$$[/tex]
New velocity after engine was firing during 60 seconds is 2000 + 500 = 2500 m/s.
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[tex] \large{\rm{Question:}}[/tex]
Give one example where the displacement is zero but the distance traveled is not zero.
Let us assume a man travelled from a point A to a point B over a distance 'd'. After a while he travels the same distance back to point A.
Therefore, since his initial and final positions are the same, displacement is equal to zero, and the distance travelled is (d + d) = 2d, which is not zero.
Example:
Imagine a person walks 10 meters forward and then turns around and walks 10 meters back to the starting point. In this case, the displacement is zero (starting point to ending point), but the distance traveled is 20 meters (10 meters forward + 10 meters backward).
Three ropes A, B and C are tied together in one single knot K. (See figure.)
If the tension in rope A is 50.5 N, then what is the tension in rope B?
Assuming point K is held in equilibrium, by Newton's second law we have
• net horizontal force
[tex]F_C \cos\left(\tan^{-1}\left(\dfrac57\right)\right) - F_A = 0[/tex]
• net vertical force
[tex]F_C \sin\left(\tan^{-1}\left(\dfrac57\right)\right) - F_B = 0[/tex]
where the angle [tex]\theta[/tex] that rope C makes with the horizontal axis satisfies
[tex]\tan(\theta) = \dfrac{9-4}{11-4} = \dfrac57[/tex]
Solve the first equation for [tex]F_C[/tex].
[tex]F_C = F_A \sec\left(\tan^{-1}\left(\dfrac57\right)\right)[/tex]
(Recall that [tex]\sec(x)=\frac1{\cos(x)}[/tex].)
Substitute this into the second equation and solve for [tex]F_B[/tex].
[tex]F_B = F_C \sin\left(\tan^{-1}\left(\dfrac57\right)\right)[/tex]
[tex]F_B = F_A \sec\left(\tan^{-1}\left(\dfrac57\right)\right) \sin\left(\tan^{-1}\left(\dfrac57\right)\right)[/tex]
[tex]F_B = F_A \tan\left(\tan^{-1}\left(\dfrac57\right)\right)[/tex]
(Recall that [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}[/tex].)
[tex]F_B = \dfrac57 F_A[/tex]
[tex]\boxed{F_B \approx 36.1\,\rm N}[/tex]
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It is critical for scientists to be able to describe components of a system quantitatively. Explain why it is important to be able to describe a system quantitatively, using an example from your investigation about habitable worlds
A quantitative description of a system is important as it provides information about the carrying capacity of habitable worlds.
What is a quantitative description of the components of a system?Quantitative description refers to the description of a system which is focused on the numerical value of the properties or components of the system.
For example, a quantitative description of the components of a given habitat will be focused on the number of the individual species in the habitat. It will also be focused on the numerical value of the non-living components of the system and how such values affect the living components of the system numerically.
This information will then be used by scientists to see how modifications of the various quantitative components of the habitat will help to improve the chances of survival of species found in the habitat. This leads to such concepts as the carrying capacity of a habitat which is the maximum number of species that the available resources is a habitat can easily sustain.
In conclusion, a quantitative description is important to in investigations about the habitable world.
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a ball bearing x is dropped vertically downwards,from the edge of a table and it takes 0.5seconds to hit the floor. Another bearing y leaves from the edge of the table horizontally with a velocity of 5m/s . Find:.
a)the time taken for bearing y to reach the table?
b)the horizontal distance traveled by y before hitting the floor
c)the height of the table top above the floor level
Answer:
See below
Explanation:
A) bearing y reaches the FLOOR in the same amount of time .5 seconds since there is no initial vertical velocity component
B. in .5 seconds y will travel 5 m/s * .5 s = 2.5 meters horizontally
C. d = 1/2 a t^2
= 1/2 (9.81)(.5^2) = 1.23 m table height
(a) Bearing y takes 0.2 seconds to reach the table. (b) Bearing y travels 1 meter horizontally before hitting the floor. (c) The height of the table top above the floor level is 1.225 meters.
a) Time is taken for bearing y to reach the table:
For a horizontal motion, the equation to calculate time is:
Time (t) = Distance (d) ÷ Velocity (v)
Time (t) = Width of the table / Velocity of y
t = 1 / 5
t = 0.2 sec
So, bearing y takes 0.2 seconds to reach the table.
b) Horizontal distance traveled by bearing y before hitting the floor:
Distance (d) = Velocity (v) × Time (t)
d = 5 × 0.2
d = 1 m
So, Bearing y travels 1 meter horizontally before hitting the floor.
c) The height of the table top above the floor level:
h = (1/2) × g × t²
h = (1/2) × 9.8 × (0.5)²
h = (1/2) × 9.8 × 0.25
h = 1.225 m
So, the height of the table top above the floor level is 1.225 meters.
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A stone of weight 10N falls from the top of a 250m high cliff. a) Calculate how much work is done by the force of gravity in pulling the stone to the foot of the cliff. b) How much energy is transferred to the stone?
Answer:
work done = ( force × displacement)
(a)The force acting on the block is it's self weight and displacement is equal to height of the tower.
work done by gravity = (250 × 10) = 2500 joule
(b) The work done by gravity 2500 joule is transferred to the object in the form of it's kinetic energy.
Is there any change in mass of substance after it changes its state? Explain with an example
Answer:
No
Explanation:
When a substance changes its state , there will not be any change in the mass of substance . For example , if we change 100 grams of water (liquid) to ice(solid) , the mass of ice will be same i.e., 100 grams . This shows there is no change in the mass even if a substance changes its state.
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In a truck-loading station at a post office, a small 0.200 kg package is released from rest at point A on a track that is one-quarter of a circle with radius 1.60 m (Figure 1). The size of the package is much less than 1.60 m, so the package can be treated as a particle. It slides down the track and reaches point B with a speed of 4.80 m/s. From point B, it slides on a level surface a distance of 3.00 m to point C, where it comes to rest.
A). What is the coefficient of kinetic friction on the horizontal surface?
b How much work is done on the package by friction as it slides down the circular arc from A to B ?
The coefficient of kinetic friction on the horizontal surface, μ = 0.39.
The work done on the package by friction as it slides down the circular arc from A to B, W = -4.176.
What is the frictional force acting on the package moving on the track?
Frictional force is the force which opposes the motion of an object over another.
Frictional force acts at the surface of contact of the objects.
The frictional force, F is related to the coefficient of kinetic friction on the horizontal surface, μ, and the normal reaction or weight, mg, of the package as follows:
F = μmg
Work done against friction, W = F * d
W = μmgd
The Kinetic energy of the package is equal to the work done against friction.
Kinetic energy of the package = mv²/2
μmgd = mv²/2
μ = v²/2gd
μ = 4.8²/(2 * 9.81 * 3)
μ = 0.39
b. Work done on the package by friction as it slides down the circular arc from A to B is given as follows:
W = mv²/2 - mgh
W = v²/2 - gh
W = 4.8²/2 - 9.81 * 1.6
W = -4.176
In conclusion, the work done by friction is lost in the form of heat.
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A 60 year old person has a threshold of hearing of 79.0 dB for a sound with frequency f=10,000 Hz. By what factor must the intensity of a sound wave of that frequency, audible to a typical young adult, (sound level=43.0 dB) be increased so that it is heard by the older person.
43.DB(decibels)
⇉ Unit conversion
4.3(bels)
4.951NP
4.3(decades)
14.28(octaves)
Interpretations
⇉ Power quantity level
Basic unit dimensions
⇉ ( logarithmic quantity ).
They provided the intensity in decibels for the problem, but they are unsure by what factor to increase it (I) to make the sound loud enough for the elderly person to hear.
Neglect f entirely.
The following equation must be used to convert decibels (dB) to I:
I=(10^(dB/10))*10^-12
Divide the elder person's dB by the younger person's dB after doing this for each dB.
1.8372093023.
Decibels are used to measure sound (dB). A motorcycle engine operating is roughly 95 dB louder than regular conversation, which is around 60 dB louder than a whisper. Your hearing may begin to be harmed if exposed to noise over 70 dB for an extended period of time. Your ears can suffer instant damage from loud noise above 120 dB.
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What is the mass of the sun plus all the planets in solar system?
A person is losing thermal energy through the skin at a rate of 120 W when his skin temperature is 30°C. He puts on a sweater, and his skin temperature rises to 33°C. The effective thermal conductivity between his core and the environment changes from 0.22 W/m·K to 0.18 W/m·K. At what rate (J/s) is he now losing thermal energy?
The rate at which the person is now losing thermal energy is 99 J/s.
Thickness of the person's skin
The thickness of the person's skin is calculated as follows;
Q = k(ΔT)h
where;
k is thermal conductivityh is thickness of the person's skinΔT difference in temperature across the skin = 30 °C = 303 Kh = Q/k(ΔT)
h = (120) / (0.22 x 303)
h = 1.8 m
Rate at which the person is now losing thermal energyQ = k(ΔT)h
where;
ΔT is new temperature difference across the skin = 33 °C = 306 KQ = (0.18)(306)(1.8)
Q = 99 J/s
Thus, the rate at which the person is now losing thermal energy is 99 J/s.
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(a) Convert 46.0° to radians.
_______ rad
(b) Convert 17.0 rad to revolutions.
________ rev
(c) Convert 79.5 rpm to rad/s.
__________ rad/s
The answers are :
(a) 23π/90 radians ≈ 0.803 radians
(b) 17/2π revolutions ≈ 2.706 revolutions
(c) 79.5/60 rad/s = 13.25 rad/s
*The important formulas to remember*
Degrees to Radians[tex]\boxed {Radian = Degree \times \frac{\pi}{180^{o}}}[/tex]
2. Radians to Revolutions
[tex]\boxed {Revolution = \frac{Radian}{2\pi}}[/tex]
3. rpm to rad/s
[tex]\boxed {rad/s = \frac{rpm}{60}}[/tex]
Based on the information provided, how confident can you be that this exoplanet is able to support life as we know it?
The information is missing here but data that may support the existence of life in an exoplanet may include the discovery of atmospheric biological gases.
What is an exoplanet?An exoplanet is any planet that surrounds another star beyond the sun, and therefore they are discovered by analyzing other galaxies in the Universe.
The existence of life in these exoplanets can be indirectly supported by the presence of gases that are only produced by organisms, which are detected by suitable telescopes that analyze emission spectra.
In conclusion, the information is missing here but data that may support the existence of life in an exoplanet include biological gases.
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The object that ends up with less electrons has a __________ charge.
A. Positive
B. Not enough info
C. Neutral
D. Negative
Reset Selection
The object that ends up with less electrons has a positive charge; option A.
What are electrons?Electrons are negatively charged particles which form a part of the three fundamental particles in an atom.
Electrons can easily be removed from the vicinity of atoms making the atom to become positively charged. On the other hand, when atoms gain extra electrons, they become negatively-charged.
On way of charging objects is by rubbing them against other objects in order to gain extra electrons or to lose electrons.
When two objects are rubbed together, the object that ends up with less electrons has a positive charge, whereas the object that ends up with more electrons has a negative charge.
In conclusion, objects can become charged when they are rubbed against each other, and they can either become negatively or positively-charged by gain or loss of electrons.
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The object indicated here that ends up with fewer electrons has an unknown charge (not enough info, Option B).
What does atomic charge mean?The atomic charge makes reference to the overall charge of an atom, which can be evidenced by knowing its net charge (positive or negative charge).
The net charge of a molecule and/or atom is obtained by calculating the amount of electrically negative electrons (e-) and the number of positive protons.
Neutrons are another type of subatomic particle that have not net charge (neither positive nor negative).
In conclusion, the object indicated here that ends up with fewer electrons has an unknown charge (not enough info, Option B).
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density of a substance ratio
Answer:
Density of a substance is the ratio of mass of the substance to its volume.
Answer:
Density of a substance is the ratio of mass of the substance to its volume.
A light bulb in a camper’s flashlight is labeled 4.1 V, 0.40 A. Find the equivalent current if three of these light bulbs are connected in parallel to a standard C size 1.5 V battery.
Explanation:
first rule of parallel circuits : the voltage is the same in the whole circuit, no matter where we measure.
so, we have 1.5V at every bulb.
second rule of parallel circuits : the total current is the sum of the individual branch currents.
so, if the battery really allows it, then we have 3 times 0.4 A = 3×0.4 = 1.2 A as current in the circuit.
A coin is placed next to the convex side of a thin spherical glass shell having a radius of curvature of 17.0 cm. Reflection from the surface of the shell forms an image of the 1.5-cm-tall coin that is 6.50 cm behind the glass shell.
a) Where is the coin located?
b) Determine the size of the image.
(a) The position of the coin placed next to the convex side of a thin spherical glass shell is 3.68 cm.
(b) The size of the image is 1.8.
Position of the coinThe position of the coin placed next to the convex side of a thin spherical glass shell is calculated as follows;
1/d = 1/f - 1/d'
where;
d' is the position of the coin's imaged position of the coinf is focal lengthFocal length = r/2 = 17 cm / 2 = 8.5 cm
1/d = 1/8.5 - (-1/6.5)
1/d = 1/8.5 + 1/6.5
1/d = 0.1176 + 0.1538
1/d = 0.2714
d = 1/0.2714
d = 3.68 cm
Size of the imageMagnification, M = d'/d
M = (6.5)/(3.68)
M = 1.8
Thus, the position of the coin placed next to the convex side of a thin spherical glass shell is 3.68 cm.
The size of the image is 1.8.
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A 62.0-kg cheetah accelerates from rest to its top speed of 32.0 m/s. (a) How much net work is required for the cheetah to reach its top speed? (b) One food Calorie equals 4 186 J. How many Calories of net work are required for the cheetah to reach its top speed?
The energy that it needs to reach the maximum speed is 7583.4 Cal
What is the work done?In Physics, we know that the work done is the product of the force and the distance moved. However, work can be converted to energy since the both have the same dimensions. We define energy in physics as the ability or the capacity to do work.
Given these information, we know that the work done in moving the cheetah as it accelerates from the bottom to the top of the mountain is equal to the kinetic energy of the cheetah thus we can write;
W = KE = 1/2 mv^2
W= 0.5 * 62.0-kg * ( 32.0 m/s)^2
W = 31744 J
Given that;
1 calories = 4.186 J
x calories = 31744 J
x = 7583.4 Cal
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The Kennedy Space Center was in charge of the Apollo 13 mission.
True
False.
How much energy is needed to move an electron in a hydrogen atom from the ground state (n = 1) to n = 3?
The energy needed to move an electron in a hydrogenatome from the ground state (n=1) to n=3 will be 1.93 *10^-18J and 12.09 eV.
How to compute the value?The following can be deduced:
Energy of electron in hydrogen atom is
En = -13.6 /n2 eV
where n is principal quantum number of orbit.
Energy of electron in first orbit = E1 = -13.6 / 12 = - 13.6eV
Energy of electron in third orbit = E3 = -13.6 /32 = -1.51 eV
Energy required to move an electron fromfirst to thirdorbit ΔE = E3- E1
ΔE = -1.51 - ( 13.6) = 12.09 eV
Energy in Joule = 12.09 *l/× 1.6 × 10^-19 = 1.93 × 10^-18 J.
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Complete question:
How much energy is needed to move an electron in a hydrogenatome from the ground state (n=1) to n=3? Give theanswer (a) in joules and (b) in eV.