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JEE Questions for Physics Dual Nature Of Radiation And Matter Quiz 3 - MCQExams.com
JEE
Physics
Dual Nature Of Radiation And Matter
Quiz 3
The kinetic energy of an electron, which is accelerated in the potential difference of 100 V, is
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1.6 × 10-17 J
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1.6 × 10-14 J
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1.6 × 10-10 J
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1.6 × 10-8 J
An electron initially at rest is accelerated through a potential difference of 1V. The energy acquired by electron is
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10 -19 J
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1.6 × 10 -19 erg
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1.6 × 10 -19 J
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1J
The energy that should be added to an electron to reduce its de-Broglie wavelength from 1 nm to 0.5 nm is
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four times the initial energy
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equal to the initial energy
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twice the initial energy
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thrice the initial energy
An electron and a neutron can have same (i) kinetic energy, (ii) momentum, or (iii) speed. Which particle has the shorter de–Broglie wavelength?
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Neutron, same, neutron
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Neutron, electron, same
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Electron,same, neutron
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Electron, neutron, electron
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0%
2)
0%
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1 : 1
For an electron, in the second orbit of Bohr's hydrogen atom, the moment of linear momentum is
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πh
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2πh
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Sharp peak point
A
represents
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characteristic X–rays
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continuous X–rays
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Bremsstrahlung
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discontinuous spectrum
X–rays of wavelength 0.140 nm are scattered from a block of carbon. What will be the wavelengths of X–rays scattered at 90° ?
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0.140 nm
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0.142 nm
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0.144 nm
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0.146 nm
An X-ray tube produces a continuous spectrum of radiation with its shortest wavelength of 45 × 10
-2
Å. The maximum energy of a photon in the radiation in eV is (
h
= 6.62 × 10
-34
J-s,
c
= 3 × 10
8
ms
-1
)
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0%
27500
0%
22500
0%
17500
0%
12500
K
α
and
K
β
, X-rays are emitted when there is a transition of electron between the levels
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n = 2 to n =1 and n = 3 to n = 1 respectively
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n = 2 to n =1 and n = 3 to n = 2 respectively
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n = 3 to n = 2 and n = 4 to n = 2 respectively
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n = 3 to n = 2 and n = 4 to n = 3 respectively
When two different materials
A
and
B
having atomic number
Z
1
and
Z
2
are used as the target in Coolidge γ-ray tube at different operating voltage
V
1
and
V
2
respectively their spectrums are found as below.
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V1 > V2 and Z2 > Z1
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V1 < V2 and Z1 < Z2
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V1 < V2 and Z1 > Z2
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V1 > V2 and Z1 < Z2
Hard X–rays for the study of fractures in bones should have a minimum wavelength of 10
-11
m. The accelerating voltage for electrons in X–rays machine should be
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< 124 kV
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> 124 kV
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between 60 kV and 70 kV
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=100 kV
A beam of 35.0 keV electrons strikes a molybdenum target, generating the X–rays. What is the cut–off wavelength?
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35.5 pm
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40.0 pm
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15.95 pm
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18.2 pm
An X–rays machine is operated at 40 kV. The short wavelength limit of continuous X-rays will be (
h
= 6.63×10
-34
J–s,
c
= 3×10
8
ms
-1
,
e
= 1.6×10
-19
C)
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0.31 Å
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0.62 Å
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0.155 Å
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0.62 Å
Energy of characteristic X–rays is a consequence of
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energy of projectile electron
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thermal energy of target
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transition in target atoms
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None of the above
X-rays are used in determining the molecular structure of crystalline because its
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energy is high
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it can penetrate the material
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its wavelength is comparable to interatomic distance
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its frequency is low
The minimum wavelength of X-rays emitted from X-rays machine operating at an accelerating potential of
V
volts is
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0%
2)
0%
0%
K
α
wavelength emitted by an atom of atomic number
Z
= 11 is λ. Find the atomic number for an atom that emits
K
α
radiation with wavelength 4λ
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Z = 6
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Z = 4
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Z = 11
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Z = 44
The radiation corresponding to 3 → 2 transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of 3 × 10
-4
T. If the radius of the largest circular path followed by these electrons is 10.0 mm, the work function of the metal is close to
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1.8 eV
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1.1 eV
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0.8 eV
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1.6 eV
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h
0%
e
0%
0%
Silver has a work function of 4.7 eV. When ultraviolet light of wavelength 100 nm is incident on it a potential of 7.7 V is required to stop the photoelectrons from reaching the collector plate. How much potential will he required to stop photoelectrons, when light of wavelength 200 nm is incident on it?
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2.35 V
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15.4 V
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3.85 V
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1.5 V
The ionisation energy of hydrogen is 13.6 eV. The energy of the photon released when an electron jumps from the first excited state (
n
=to the ground state of a hydrogen atom is
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3.4 eV
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4.53 eV
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10.2 eV
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13.6 eV
What is the ratio of wavelength of a photon and that of an electron (of mass,
m
) of the same energy (
E
)?
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0%
2)
0%
0%
A monochromatic light of frequency 3 × 10
14
Hz, is produced by a laser, emits the power of 3 × 10
-3
W. Find, how many number of photons are emitted per sec?
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1.5 × 1016
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2.5 × 1016
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4.5 × 1016
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8.5 × 1016
In a photoelectric effect measurement, the stopping potential for a given metal is found to be
V
0
volt, when radiation of wavelength is used. If radiation of wavelength 2λ
0
is used with the same metal, then the stopping potential (in volt) will be
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0%
2V0
0%
0%
The work function of a substance is 4.0 eV. The longest wavelength of light that can cause photoelectron emission from this substance is approximately
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540 nm
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400 nm
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310 nm
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220 nm
Work function of a metal is 2.1 eV. Which of the waves of the following wavelengths will be able to emit photoelectrons from its surface?
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4000 Å , 7500 Å
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5500 Å , 6000 Å
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4000 Å , 6000 Å
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None of these
A monochromatic source of light emits photons of frequency 6 × 10
14
Hz. The power emitted by the source is 8 × 10
-3
W. Calculate the number of photons emitted per sec (take,
h
= 6.63 × 10
-34
J-s)
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6 × 1014
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4 × 1015
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2 × 1016
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1 × 1017
If
e/m
of electron is 1.76 ×10
11
C kg
-1
and stopping potential is 0.71 V, then the maximum velocity of the photoelectron is
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150 km/s
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200 km/s
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500 km/s
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250 km/s
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100 km/s
The frequency of a photon having energy 100 eV is (take,
h
= 6.67 × 10
-34
J-s, 1 eV = 1.6 × 10
-19
J)
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2.4 × 10-16
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2.4 × 1016
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2.4 × 1017
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10.54 × 1016
What is the work function (in eV) of a substance, if photoelectrons are just ejected for a monochromatic light of wavelength λ = 3300 Å ?
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3.75
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3.25
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1.63
0%
0.75
The photoelectric threshold wavelength for silver is λ
0
. The energy of the electron ejected from the surface of silver by an incident wavelength λ(λ < λ
0
) will be
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0%
2)
0%
0%
An atom of mass
M
, which is in the state of rest emits a photon of wavelength λ. As a result, the atom will deflect with the kinetic energy equal to (
h
is Planck's constant)
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0%
2)
0%
0%
Photon and electron are given energy (10
-2
J). Wavelengths associated with photon and electron are λ
ph
and λ
el
, then correct statement will be
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λph > λel
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λph < λel
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λph = λel
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The surface of a metal is illuminated with the light of 400 nm. The kinetic energy of the ejected photoelectrons was found to be 1.68 eV. The work function of the metal is (
hc
= 1240 eV-nm)
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3.09 eV
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1.42 eV
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151 eV
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1.68 eV
Assertion (A)
Photoelectric effect can take place only with an electron bound in the atom.
Reason (R)
Electron is a fermion whereas proton is a boson.
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if both A and R are correct and R is the correct explanation of A
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If both A and R are correct but R is not the correct explanation of A
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If A is correct but R is incorrect
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If A is incorrect but R is correct
A light whose frequency is equal to 6 × 10
14
Hz, is incident on a metal whose work function is 2eV. (
h
= 6.63 ×10
-34
J-s, leV =1.6 × 10
-19
J ). The maximum energy of the electrons emitted will be
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2.49 eV
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4.49 eV
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0.49 eV
0%
5.49 eV
When a piece of metal is illuminated by a monochromatic light of wavelength λ , then stopping potential is 3
V
s
. When same surface is illuminated by light of wavelength 2λ , then stopping potential becomes
V
s
. The value of threshold wavelength for photoelectric emission will be
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4λ
0%
8λ
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0%
6λ
The threshold wavelength for photoelectric emission from a material is 4800 Å. Photoelectrons will be emitted from the material. when it is illuminated with light from a
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40 W blue lamp
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40 W green lamp
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100 W red lamp
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100 W yellow lamp
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1000 W green lamp
The frequency and intensity of a light source are doubled. Consider the following statements I. Saturation photocurrent remains almost the same. II. Maximum kinetic energy of the photoelectrons is doubled.
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Both I and II are true
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I is true but II is false
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I is false but II is true
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Both I and II are false
Monochromatic light of frequency
f
incident on emitter having threshold frequency
f
0
. The kinetic energy of ejected electron will be
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hf
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h ( f – f0 )
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hf0
0%
h ( f + f0 )
In photoelectric effect, the threshold wavelength of sodium is 5000 Å . Find its work function. (
h
= 6.6 × 10
-34
J-s ,
c
= 3 × 10
8
ms
-1
, 1 eV = 1.6 × 10
-19
J )
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7.5 eV
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2.5 eV
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10 eV
0%
5.0 eV
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λ ≥ λ0
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λ ≥ 2λ0
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λ ≤ λ0
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λ = 4λ0
When radiation is incident on a photoelectron emitter, the stopping potential is found to be 9V. If
e/m
for the electron is 1.8 × 10
11
C kg
-1
, the maximum velocity of the ejected electron is
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6 × 105 ms-1
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8 × 105 ms-1
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1.8 × 106 ms-1
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1.8 × 105 ms-1
A photosensitive material would emit electrons, if excited by photons beyond a threshold. To overcome the threshold, one would increase the
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voltage applied to the light source
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intensity of light
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wavelength of light
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frequency of light
A photoelectric cell is illuminated by a point source of light 1 m away. When the source is shifted to 2 m then
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each muted electron carries half the initial energy
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number of electrons emitted is a quarter of the initial number
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each emitted electron carries one quarter of the initial energy
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number of eletrons emitted is half the initial number
The photosensitive surface is receiving light of wavelength 5000 Å at the rate of 10
-8
J–s
-1
. The number of photons received per sec is
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2.5 × 1010
0%
2.5 × 1011
0%
2.5 × 1012
0%
2.5 × 109
When light of wavelength 300 nm, falls on a photoelectric emitter, photoelectrons are liberated. For another emitter, light of wavelength 600 nm is sufficient for liberating photoelectrons. The ratio of the work function of the two emitters is
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1 : 2
0%
2: 1
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4: 1
0%
1 : 4
Maximum velocity of the photoelectrons emitted by a metal surface is 1.2 × 10
6
ms
-1
. Assuming the specific charge of the electron to be 1.8 × 10
11
C kg
-1
, the value of the stopping potential in volt will be
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2
0%
3
0%
4
0%
6
Which one of the following graph represents the variation of maximum kinetic energy (
E
k
) of the emitted electrons with frequency
v
in photoelectric effect correctly ?
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2)
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