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Assertion & Reason Test: Dual Nature of Radiation & Matter - Grade 12 MCQ


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17 Questions MCQ Test - Assertion & Reason Test: Dual Nature of Radiation & Matter

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Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 1

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Photoelectric effect demonstrates the particle nature of light.

Reason (R): The number of photoelectrons is proportional to the frequency of light.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 1
Photoelectric effect demonstrates the particle nature of light. So the assertion is true.

Number of emitted photoelectrons depends upon the intensity of light. So the reason is false.

Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 2

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Photosensitivity of a material is high if its work function is low.

Reason (R): Work function = hf0, where f0 is threshold frequency.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 2
Work function is less means less energy is required to eject photoelectrons. So, if the work function is less photosensitivity is high. So the assertion is true.

Work function is the minimum energy required to eject a photoelectron and Work function = hf0, where f0 is threshold frequency. So reason is also true but it does not explain the assertion.

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Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 3

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): de-Broglie wavelength of a gas molecule is inversely proportional to the square root of temperature.

Reason (R): The root mean square velocity of gas molecules depends on temperature.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 3

So, vRMS ∝ √T Again de-Broglie wavelength, λ = h/mv

So, λ ∝ 1/√T

Hence, assertion and reason both are true and reason explains the assertion.

Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 4

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The energy (E) and momentum (p) of a photon are related as p = E/c

Reason (R): The photon behaves like a particle.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 4
Energy= E = hc/λ

Momentum = P = h/λ.

So, P = E/c

This is true only when photon has a particle nature.

So, assertion and reason both are true and reason properly explains the assertion.

Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 5

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Kinetic energy of photoelectrons emitted by a photosensitive surface depends upon the frequency of incident photon.

Reason (R): The ejection of electrons from metallic surface is possible with frequency of incident photon below the threshold frequency.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 5
K.E. depends upon the frequency. So assertion is true.

Photoelectron emitted when frequency of incident radiation is more than the threshold frequency. So reason is also false.

Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 6

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): de-Broglie equation is significant for microscopic particles.

Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 6
de-Broglie wavelength, λ = h/mv h and v remaining constant, λ ∝ 1/m So, as the mass of the particle becomes smaller and smaller the de-Broglie wavelength of the particle becomes more and more significant.

Hence, assertion and reason both are true and reason explains the assertion properly.

Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 7

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Resolving power of electron microscope increases as electron is accelerated through higher voltage.

Reason (R): de-Broglie wavelength of electron decreases as accelerating voltage of electron increases.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 7
de-Broglie wavelength is given by λ =

So, as accelerating potential (V) increases, the wavelength decreases.

Resolving power of microscope =

So, as wavelength (λ) decreases, resolving power increases.

So, assertion and reason both are true and reason explains the assertion.

Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 8

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : Though light of a single frequency (monochromatic) is incident on a metal, the energies of emitted photoelectrons are different.

Reason : The energy of electrons emitted from inside the metal surface is lost in collision with the other atoms in the metal.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 8
When a light of single frequency falls on the electrons of inner layer of metal, then this electron comes out of the metal surface after a large number of collisions with atom of it’s upper layer.
Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 9

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : Photoelectric saturation current increases with the increase in frequency of incident light.

Reason : Energy of incident photons increases with increase in frequency and as a result photoelectric current increases.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 9
Photoelectric saturation current is independent of frequency. It only depends on the intensity of light.
Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 10

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : The photon behaves like a particle.

Reason : If E and P are the energy and momentum of the photon, then p = E / c .

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 10
Momentum of a platform is given by

p = hλ (by de Broglie hypothesis)... (i)

Also the photon is a form of energy packet behave as a particle and having energy

E = hcλ...(ii)

From (i) and (ii), p = E/c or, hv/c.

Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 11

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : Two photons of equal wavelength must have equal linear momentum.

Reason : Two photons of equal linear momentum will have equal wavelength.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 11
To photons of equal wavelength will have equal momentum (magnitude), but direction of momentum may be different.
Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 12

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : In the process of photoelectric emission, all emitted electrons do not have the same kinetic energy.

Reason : If radiation falling on a photosensitive surface of a metal consists of different wavelengths then energy acquired by electrons absorbing photons of different wavelengths shall be different.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 12
Both statement I and II are true; but even it radiation of single wavelength is incident on photosensitive surface, electrons of different KE will be emitted.
Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 13

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : The photoelectrons produced by a monochromatic light beam incident on a metal surface have a spread in their kinetic energies.

Reason : The work function of the metal is its characteristic property.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 13
The kinetic energy of emitted photoelectrons varies from zero to a maximum value. Work function depends on metal used.
Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 14

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : Photosensitivity of a metal is high if its work function is small.

Reason : Work function = hf0 where f0 is the threshold frequency.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 14
Less work function means less energy is required for ejecting out the electrons.
Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 15

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : In an experiment on photoelectric effect, a photon is incident on an electron from one direction and the photoelectron is emitted almost in the opposite direction. It violates the principle of conservation of linear momentum.

Reason : It does not violate the principle of conservation of linear momentum.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 15
The photoelectron is emitted in the opposite direction to that of the direction of the incident photon, and does not violate the conservation of momentum. The conservation of momentum is based on Newton's third law which says that the forces acting during collision are equal and opposite. Thus, during collision of photon and electron, the photoelectron is emitted in the opposite direction.
Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 16

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : Two sources of equal intensity always emit equal number of photons in any time interval.

Reason : Two sources of equal intensity may emit equal number of photons in any time interval.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 16
Total number of emitted photons depends on energy of each photon. The energy of photons of two sources may be different.
Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 17

Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.

Assertion : The kinetic energy of photoelectrons emitted from metal surface does not depend on the intensity of incident photon.

Reason : The ejection of electrons from metallic surface is not possible with frequency of incident photons below the threshold frequency.

Detailed Solution for Assertion & Reason Test: Dual Nature of Radiation & Matter - Question 17
Intensity of incident photon decides the number of electrons ejected and not the kinetic energy.

Ejection of electrons from metallic surfaces is possible only when the frequency of incident photon is more than threshold frequency.

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