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JEE • PHYSICS • DUAL NATURE OF RADIATION AND MATTER
Dual nature of radiation and matter practice · Medium
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Practice format and chapter quiz
These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.
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241
Medium
241 of 303
Application
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A 5 W source emits monochromatic light of wavelength . When placed 0.5 m away, it liberates photoelectrons from a photosensitive metallic surface. When the source is moved to a distance of 1.0m, the number of photoelectrons liberated will be reduced by a factor of
View answer and explanation
Correct option: A
4
Option A (4) is correct because the number of photoelectrons is inversely proportional to the square of the distance from the source.
242
Medium
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Application
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In Millikan’s oil drop experiment, a charged drop of mass kg is stationary between the plates. The distance between the plates 0.9 cm and potential difference between the plates is 2000 V. The number of electrons on the oil drop is
View answer and explanation
Correct option: B
5
Option B (5) is correct because in Millikan's experiment, the number of electrons is calculated by equating the electric force to the gravitational force and solving for n.
243
Medium
243 of 303
Remembering
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The time taken by a photoelectron to come out after the photon strikes is approximately
View answer and explanation
Correct option: B
Option B () is correct because the photoelectric effect is nearly instantaneous.
244
Medium
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Understanding
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A beam of light of wavelength and with illumination falls on a clean surface of sodium. If photoelectrons are emitted each with kinetic energy then
View answer and explanation
Correct option: B
and
Option B ( and ) is correct because the number of photoelectrons is proportional to light intensity, and kinetic energy is inversely proportional to wavelength.
245
Medium
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Remembering
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Colour of star is an indication of its:-
View answer and explanation
Correct option: C
temperature
Option C (temperature) is correct because the color of a star is directly related to its surface temperature, as described by Wien's displacement law.
246
Medium
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Application
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Moving with the same velocity. Which of the following has the longest be Broglie wavelength
View answer and explanation
Correct option: A
-particle
Option A (-particle) is correct because, among the given particles, the beta particle (electron) has the smallest mass, and de Broglie wavelength is inversely proportional to mass.
247
Medium
247 of 303
Analyzing
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For a body moving with relativistic speed, if the velocity is doubled, then
View answer and explanation
Correct option: A
Its linear momentum is doubled
Option C (Its linear momentum will be more than double) is correct because at relativistic speeds, the momentum increases more than linearly with velocity due to the relativistic mass increase.
248
Medium
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Understanding
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If the frequency of light in a photoelectric
experiment is doubled, the stopping potential will:
experiment is doubled, the stopping potential will:
View answer and explanation
Correct option: C
become more than double
Option C (become more than double) is correct because the stopping potential is related to the frequency by , so doubling the frequency more than doubles the stopping potential.
249
Medium
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Application
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The debroglie wavelength of an electron is and has energy . If the de Broglie wavelength is reduced by , then how much extra kinetic energy will the electron have now
View answer and explanation
Correct option: B
Option B () is correct because the kinetic energy is inversely proportional to the square of the de Broglie wavelength.
250
Medium
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Remembering
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The special theory of relativity is based on the frame of reference which has constant?
View answer and explanation
Correct option: B
Speed
Option B (Speed) is correct because the special theory of relativity postulates that the speed of light in a vacuum is constant for all observers.
251
Medium
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Application
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Ultraviolet radiation of 6.2eV falls on an aluminium surface (work function 4.2eV). The kinetic energy in joule of the fastest electron emitted is approximately
View answer and explanation
Correct option: B
Option B () is correct because the kinetic energy of the fastest electron is calculated using the photoelectric effect equation.
252
Medium
252 of 303
Remembering
+4 | -1
The colour of the positive column in a gas discharge tube depends on
View answer and explanation
Correct option: B
The gas in the tube
Option B (The gas in the tube) is correct because the color of the light emitted in a gas discharge tube is determined by the energy levels of the gas atoms.
253
Medium
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Application
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Doubly ionised helium atom and hydrogen ions are accelerated, from rest, through the same potential difference. The ratio of final velocities of helium and hydrogen is
View answer and explanation
Correct option: A
Option A () is correct because it is derived from the relationship between kinetic energy, charge, potential difference, and mass for both helium and hydrogen ions.
254
Medium
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Remembering
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The de-Broglie wavelength is proportional to
View answer and explanation
Correct option: C
Option C () is correct because the de Broglie wavelength is inversely proportional to the momentum of the particle.
255
Medium
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Understanding
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In the photoeletric effect, electrons are emitted
View answer and explanation
Correct option: D
only if the frequency of the incident radiations is above a certain threshold value
Option D is correct because photoelectrons are emitted only when the incident radiation's frequency exceeds the threshold frequency.
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256
Medium
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Understanding
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Planck’s constant has the dimensions of
View answer and explanation
Correct option: D
Angular momentum
Option D is correct because when the size of the object is much smaller than the wavelength, scattering is the dominant phenomenon.
257
Medium
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Understanding
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If and are the acceleration due to gravity on the surfaces of the earth and the moon respectively and it Millikan’s oil drop experiment could be performed on the two surfaces, one will find the ratio to be
View answer and explanation
Correct option: A
1
Option A (1) is correct because the electronic charge is a fundamental constant and does not depend on the gravitational acceleration of the planet or moon.
258
Medium
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Application
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An electron is accelerated under a potential difference of 182 V. The maximum velocity of electron will be
(Charge of an electron is C and its mass is kg)
(Charge of an electron is C and its mass is kg)
View answer and explanation
Correct option: C
m/s
Option C (m/s) is correct because the maximum velocity is calculated using the kinetic energy gained by the electron due to the potential difference.
259
Medium
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Application
+4 | -1
Intensity of U.V. radiations is and its average wavelength is
. It is incident on a surface. Calculate number of photons per 2 sec. per .
. It is incident on a surface. Calculate number of photons per 2 sec. per .
View answer and explanation
Correct option: A
Option A () is correct because it is the number of photons calculated using the given intensity, wavelength, and area over a time of 2 seconds.
260
Medium
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Analyzing
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Cut off potentials for a metal surface for light of wavelengths and are and respectively. If and are in arithmatic progression, then and are in
View answer and explanation
Correct option: C
Harmonic progression
Option C (Harmonic progression) is correct because the stopping potentials are in arithmetic progression, which implies the wavelengths are in harmonic progression.
261
Medium
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Application
+4 | -1
If wavelength of photon and electron is same then ratio of total energy of electron to total energy of photon would be
View answer and explanation
Correct option: A
Option D () is correct because the ratio of energies is proportional to the ratio of their velocities, given the same wavelength.
262
Medium
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Application
+4 | -1
Radius of central zone of circular zone plate is 2.3 mm. wavelength of incident light is 5893 . Source is at a distance of 6 m. Then the distance of first image will be
View answer and explanation
Correct option: A
9 m
Option A (9 m) is correct because the focal length of the zone plate is calculated using the radius of the central zone and the wavelength of the incident light.
263
Medium
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Analyzing
+4 | -1
A proton and an electron have the same de Broglie wavelength. If and be the kinetic energies of proton and electron respectively. Then choose the correct relation:
View answer and explanation
Correct option: D
Option D (Kp < Ke) is correct because since the de Broglie wavelengths are the same, the electron, having smaller mass, has a larger kinetic energy.
264
Medium
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Analyzing
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Assertion: Photoelectric effect is seen only when electron are bound.
Reason: Free electron cannot absorb whole energy of photon and consuming momentum and energy.
Reason: Free electron cannot absorb whole energy of photon and consuming momentum and energy.
View answer and explanation
Correct option: A
If both Assertion and Reason are true and the Reason is a correct explanation of the Assertion
Option A is correct because the photoelectric effect requires bound electrons, and free electrons cannot conserve both energy and momentum when absorbing a photon.
265
Medium
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Application
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What will be the ratio of the de-Broglie wavelength of proton and particle of same energy?
View answer and explanation
Correct option: A
Option A () is correct because the de-Broglie wavelength is inversely proportional to the square root of the mass when energy is constant.
266
Medium
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Understanding
+4 | -1
When the speed of electrons increase, then the value of its specific charge
View answer and explanation
Correct option: B
Decreases
Option B (Decreases) is correct because as the speed of electrons increases, their mass increases relativistically, causing the specific charge (e/m) to decrease.
267
Medium
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Application
+4 | -1
An -particle and a proton are accelerated from rest by a potential difference of 100 V. After this, their de-Broglie wavelengths are and respectively. The ratio , to the nearest integer, is
View answer and explanation
Correct option: A
3
Option A (3) is correct because the de-Broglie wavelength is inversely proportional to the square root of the product of charge and mass, and the ratio simplifies to approximately 3.
268
Medium
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Analyzing
+4 | -1
Consider the two following statements I and II, and identify the correct choice given in the answers
III. In photovoltaic cells the photoelectric current produced is not proportional to the intensity of incident light.
IV. In gas filled photoemissive cells, the velocity of photoelectrons depends on the wavelength of the incident radiation.
III. In photovoltaic cells the photoelectric current produced is not proportional to the intensity of incident light.
IV. In gas filled photoemissive cells, the velocity of photoelectrons depends on the wavelength of the incident radiation.
View answer and explanation
Correct option: D
I is false but II is true
Option D (I is false but II is true) is correct because the photoelectric current in photovoltaic cells is proportional to the intensity of incident light, and the velocity of photoelectrons in gas-filled photoemissive cells depends on the wavelength of incident radiation.
269
Medium
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Remembering
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G. P. Thomson experimentally confirmed the existence of matter waves by the phenomenon
View answer and explanation
Correct option: B
Refraction
Option A (Diffraction) is correct because G.P. Thomson experimentally confirmed the wave nature of electrons through diffraction experiments.
270
Medium
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Understanding
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Experimental study of photoelectric effect shows that
I. Photocurrent intensity of light.
II. saturation current intensity of light.
III. photoemission occurs only at frequency greater than threshold frequency.
IV. photoemission is an instantaneous process.
The correct statements are
I. Photocurrent intensity of light.
II. saturation current intensity of light.
III. photoemission occurs only at frequency greater than threshold frequency.
IV. photoemission is an instantaneous process.
The correct statements are
View answer and explanation
Correct option: D
I, II, III and IV
Option D (I, II, III and IV) is correct because all the statements accurately describe the experimental observations of the photoelectric effect.
Revision notes and key takeaways
Review DUAL NATURE OF RADIATION AND MATTER in your textbook or class notes, then use this set to check your understanding.
Showing 241-270 of 303 questions
