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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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Showing 181-210 of 303 questions
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181
Medium
181 of 303
Understanding
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Assertion: Photoelectric effect supports the quantum nature of light.
Reason: Photoelectric emission is instantaneous.
Reason: Photoelectric emission is instantaneous.
View answer and explanation
Correct option: B
Both Assertion and Reason are true and Reason is not the correct explanation of Assertion
Option B is correct because both the assertion and reason are true, but the reason doesn't fully explain why the photoelectric effect supports the quantum nature of light.
182
Medium
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Application
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When a metallic surface is illuminated with monochromatic light of wavelength , stopping potential for photoelectric current is . When the same metallic surface is illuminated with a light of wavelength , the stopping potential is . The threshold wavelength for the surface is-
View answer and explanation
Correct option: B
The correct answer is B () because the threshold wavelength is calculated using the photoelectric effect equations and the given stopping potentials.
183
Medium
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Application
+4 | -1
An electron is accelerated through a potential difference of volt. The speed of electrons will be
View answer and explanation
Correct option: B
Option B () is correct because it is derived from equating the kinetic energy gained by the electron to the work done by the potential difference.
184
Medium
184 of 303
Application
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Two sources of light emit with a power of . The ratio of number of photons of visible light emitted by each source having wavelengths 300 and respectively, will be :
View answer and explanation
Correct option: B
Option B () is correct because it is the ratio of the number of photons calculated using the power and wavelength relationship.
185
Medium
185 of 303
Understanding
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Which of the following statement about photon is incorrect?
View answer and explanation
Correct option: A
Photons exert no pressure
Option A is correct because photons exert pressure due to their momentum, as described by the relationship between energy, momentum, and the speed of light.
186
Medium
186 of 303
Application
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Ultraviolet light of wavelength is used in an experiment on photoelectric effect with lithium cathode. Find
(a) the maximum kinetic energy of the photoelectrons and
(b) the stopping potential.
(a) the maximum kinetic energy of the photoelectrons and
(b) the stopping potential.
View answer and explanation
Correct option: A
Option A () is correct because the maximum kinetic energy is the difference between the photon energy and the work function, and the stopping potential is equal to the maximum kinetic energy in electron volts.
187
Medium
187 of 303
Remembering
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Which of one is correct
View answer and explanation
Correct option: A
Option A () is correct because it represents the relativistic energy-momentum relation for a massless particle or the general relation when rest mass is zero.
188
Medium
188 of 303
Analyzing
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If an electron and a proton have the same de-Broglie wavelength, then the kinetic energy of the electron is
View answer and explanation
Correct option: C
More than that of a proton
Option C (More than that of a proton) is correct because for the same de-Broglie wavelength, the kinetic energy is inversely proportional to the mass, and the electron has a smaller mass than the proton.
189
Medium
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Application
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The wavelength of light in the visible region is about for violet colour. What are the energies of photons in at the violet end. [Take and .
View answer and explanation
Correct option: A
Option A () is correct because it is the energy of a photon with a wavelength of 390 nm, calculated using .
190
Medium
190 of 303
Application
+4 | -1
The ratio of the de-Broglie wavelength of an -particle and a proton of same kinetic energy is
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, and the alpha particle's mass is four times that of the proton.
191
Medium
191 of 303
Understanding
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In which of the following cases the heavier of the two particle has a same de Broglie wavelength? The two particles :-
View answer and explanation
Correct option: B
Move with the same linear momentum
Option B (Move with the same linear momentum) is correct because de Broglie wavelength is inversely proportional to momentum, so equal momentum implies equal wavelength.
192
Medium
192 of 303
Understanding
+4 | -1
When ultraviolet radiation is incident on a surface, no photoelectrons are emitted. If a second beam causes photoelectrons to be ejected, it may consist of
View answer and explanation
Correct option: B
X-rays
Option B is correct because X-rays have higher energy (and frequency) than ultraviolet radiation, so they can cause photoelectrons to be ejected when ultraviolet radiation cannot.
193
Medium
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Application
+4 | -1
The ratio of the energy of a photon with nm to that with nm is
View answer and explanation
Correct option: A
2
Option A (2) is correct because the energy of a photon is inversely proportional to its wavelength, so halving the wavelength doubles the energy.
194
Medium
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Understanding
+4 | -1
Photoelectric effect can be explained by
View answer and explanation
Correct option: D
Quantum theory of light
Option D (Quantum theory of light) is correct because the photoelectric effect is explained by the quantum theory, where light is considered as packets of energy called photons.
195
Medium
195 of 303
Remembering
+4 | -1
The energy of an electron in the Bohr’s orbit is proportional to
View answer and explanation
Correct option: C
Option C () is correct because the energy of an electron in the nth Bohr orbit is inversely proportional to the square of the principal quantum number n.
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196
Medium
196 of 303
Application
+4 | -1
If the uncertainty in the position of an electron is m, then the value of uncertainty in its momentum (in kg-) will be
View answer and explanation
Correct option: B
Option B () is correct because it is calculated using the Heisenberg uncertainty principle.
197
Medium
197 of 303
Analyzing
+4 | -1
A ultra violet photon and an electron have the same de Broglie wavelengths, then the energy of the photon is -
View answer and explanation
Correct option: A
greater than the kinetic energy of the electron
Option A (greater than the kinetic energy of the electron) is correct because the energy of a photon with the same de Broglie wavelength is greater than the kinetic energy of the electron.
198
Medium
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Understanding
+4 | -1
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 is correct because the electronic charge is a fundamental constant and is independent of the gravitational acceleration.
199
Medium
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Application
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A small piece of cesium metal is kept at a distance of from a large metal plate having a charge density of on the surface facing the cesium piece. A monochromatic light of wavelength is incident on the cesium piece. Find the minimum and the maximum kinetic energy of the photoelectrons reaching the large metal plate. Neglect any change in electric field due to the small piece of cesium present.
View answer and explanation
Correct option: A
Option A () is correct because it calculates the minimum and maximum kinetic energies of photoelectrons reaching the metal plate by considering the potential difference and the work function.
200
Medium
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Application
+4 | -1
An electron and a proton have the same de-Broglie wavelength. Then the kinetic energy of the electron is
View answer and explanation
Correct option: D
Greater than the kinetic energy of proton
Option D (Greater than the kinetic energy of proton) is correct because, for the same de-Broglie wavelength, the lighter particle (electron) has a higher kinetic energy.
201
Medium
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Understanding
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Assertion: The kinetic energy of photoelectrons depends on the frequency of incident radiation.
Reason: The kinetic energy of photoelectrons is determined by the difference between the energy of the incident photon and the work function of the metal.
Reason: The kinetic energy of photoelectrons is determined by the difference between the energy of the incident photon and the work function of the metal.
View answer and explanation
Correct option: A
Both Assertion and Reason are true, and Reason is the correct explanation for Assertion
Option A is correct because the kinetic energy of photoelectrons is directly related to the frequency of incident radiation and the work function of the metal.
202
Medium
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Application
+4 | -1
If and be the wavelengths of protons and -particles of equal kinetic energies, then
View answer and explanation
Correct option: D
Option D () is correct because the wavelength is inversely proportional to the square root of the mass for particles with equal kinetic energies.
203
Medium
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Application
+4 | -1
What is the de Broglie wavelength of
(a) a ball of mass moving at a speed of , and
(b) a dust particle of mass drifting with a speed of ?
(a) a ball of mass moving at a speed of , and
(b) a dust particle of mass drifting with a speed of ?
View answer and explanation
Correct option: A
Option A () is correct because it is the de Broglie wavelength calculated for the ball and the dust particle.
204
Medium
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Understanding
+4 | -1
Electric field and magnetic field in Thomson mass spectrograph are applied
View answer and explanation
Correct option: D
Parallel simultaneously
Option D (Parallel simultaneously) is correct because in Thomson's mass spectrograph, the electric and magnetic fields are applied parallel to each other and simultaneously.
205
Medium
205 of 303
Analyzing
+4 | -1
A photon and electron have same de-Broglie wavelength. Give that is the speed of electron and is the velocity of light. are the kinetic energy of electron and photon respectively. are the momentum of electron and photon respectively. Then which of the following relation is correct?
View answer and explanation
Correct option: A
Option A is correct because the ratio of kinetic energy of electron to photon is v/2c, derived from their de-Broglie wavelengths and energy equations.
206
Medium
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Application
+4 | -1
The threshold frequency for photo electric effect on sodium corresponds to a wave length of Its work function is [Joule]
View answer and explanation
Correct option: A
The correct answer is because the work function is calculated using the threshold wavelength and Planck's constant.
207
Medium
207 of 303
Understanding
+4 | -1
Which is not true with respect to the cathode rays
View answer and explanation
Correct option: C
Move with speed same as that of light
Option C (Move with speed same as that of light) is correct because cathode rays move at speeds significantly less than the speed of light.
208
Medium
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Application
+4 | -1
A photo cell is receiving light from a source placed at a distance of If the same source is to be placed at a distance of then the ejected electron
View answer and explanation
Correct option: D
Will be one-fourth in number
Option A () is correct because the angular momentum is conserved, and the moment of inertia doubles when the angular velocity is halved.
209
Medium
209 of 303
Analyzing
+4 | -1
A photon collides with a stationary hydrogen atom in ground state inelastically. Energy of the colliding photon is 10.2 eV. After a time interval of the order of micro second another photon collides with same hydrogen atom inelastically with an energy of 15 eV. What will be observed by the detector?
View answer and explanation
Correct option: C
One photon of energy 10.2 eV and an electron of energy 1.4 eV
The correct answer is C because the first photon excites the hydrogen atom, and the second photon ionizes it, releasing an electron with kinetic energy.
210
Medium
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Application
+4 | -1
A Rn photodiode is fabricated from a semiconductor with a band gap of 2.5 eV. It can detect a signal of wavelength
View answer and explanation
Correct option: D
Option D () is correct because the maximum wavelength that can be detected is determined by the band gap energy of the semiconductor.
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 181-210 of 303 questions
