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MCQ Practice Test & Solutions: Chapter Test: Dual Nature of Matter and Radiation - 1 (30 Questions)

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Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 60 minutes
  • - Number of Questions: 30

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Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 1

When a metallic surface is illuminated with monochromatic light of wavelength λ, stopping potential for photoelectric current is 3 V0. When the same metallic surface is illuminated with a light of wavelength 2λ, the stopping potential is V0. The threshold wavelength for the surface is-

Detailed Solution: Question 1

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 2


Detailed Solution: Question 2


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 3

In a photo emissive cell with executing wavelength λ, the fastest electron has speed v. If the exciting wavelength is changed to 3λ/4, the speed of the fastest emitted electron will be -

Detailed Solution: Question 3

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 4

A source of light is placed at a distance of 1 m from a photocell and cut-off potential is found to be V0. If the distance is doubled, the cut-off potential will be -

Detailed Solution: Question 4

Stopping potential does not depend on intensity means number of photons.

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 5

The threshold frequency for a metallic surface corresponds to an energy of 6.2 eV, and the stopping potential for a radiation incident on this surface is 5V. The incident radiation lies in -

Detailed Solution: Question 5


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 6

Light of wavelength 400 nm is incident continuously on a cesium ball (work function 1.9 eV) The maximum potential to which the ball will be charged is-

Detailed Solution: Question 6


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 7

A metallic surface ejects photoelectrons when hit by green light but none when hit by yellow light. Will the electrons be ejected if the same surface is hit by red light ?

Detailed Solution: Question 7


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 8


Detailed Solution: Question 8


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 9


Detailed Solution: Question 9


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 10

Ultraviolet light of wavelength 300 nm and intensity 1.0 watt/m2 falls on the surface of a photosensitive material. If 1% of the incident photons produce photoelectrons, then the number of photoelectrons emitted from an area of 1.0 cm2 of the surface is nearly -

Detailed Solution: Question 10


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 11

The rest mass of a photon is -

Detailed Solution: Question 11

Rest mass of photon = zero

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 12

A photocell employs photoelectric effect to convert -

Detailed Solution: Question 12

No. of photons are used for emission of e.

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 13

Detailed Solution: Question 13

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 14


Detailed Solution: Question 14


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 15


Detailed Solution: Question 15

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 16

Threshold wavelength for photoelectric emission from a metal surface is 5200 Å. Photoelectrons will be emitted when this surface is illuminated with monochromatic radiation from -

Detailed Solution: Question 16


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 17

Light of frequency 1.5 times the threshold frequency is incident on a photosensitive material, photoelectric current is emitted. If the frequency of light is halved and intensity is doubled, the photoelectric current becomes -

Detailed Solution: Question 17


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 18


Detailed Solution: Question 18


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 19


Detailed Solution: Question 19


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 20

The graph between the frequency of incident light and the stopping potential is a -

Detailed Solution: Question 20


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 21

An image of the sun is formed by a lens of focal length 30 cm on the metal surface of a photoelectric cell and it produces a current I. The lens forming the image is then replaced by another lens of the same diameter but of focal length of 15 cm. The photoelectric current in this case will be -

(In both cases the plate is kept at focal plane and normal to the axis lens)

Detailed Solution: Question 21

The number of photons incident in both the case is same.

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 22

When a metallic surface is illuminated with monochromatic light of wavelength λ, the stopping potential is 5V0. When the same surface is illuminated with light of wavelength 3λ, the stopping potential is V0. Then the work function of the metallic surface is -

Detailed Solution: Question 22


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 23

The threshold wavelength for photoelectric emission from a material is 5200 Å. Photoelectrons will be emitted when this material is illuminated with monochromatic radiation from a

Detailed Solution: Question 23


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 24

Light of wavelength λ strikes a photo-sensitive surface and electrons are ejected with kinetic energy E. If the kinetic energy is to be increased to 2E, the wavelength must be changed to λ' where -

Detailed Solution: Question 24


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 25

The maximum velocity of an electron emitted by light of wavelength λ incident on the surface of a metal of work function W is -

Detailed Solution: Question 25


Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 26

Given h = 6.6 × 10-34 joule sec, the momentum of each photon in a given radiation is 3.3 × 10-29 kg metre/sec. The frequency of radiation is

Detailed Solution: Question 26

The correct answer is Option B - 1.5 × 1013Hz

For a photon, momentum and wavelength are related by p = h/λ.

The frequency is related to wavelength by ν = c/λ; combining these gives ν = pc/h.

Substitute p = 3.3 × 10-29 kg m/s, h = 6.6 × 10-34 J·s, and c = 3.0 × 108 m/s into ν = pc/h.

ν = (3.3 × 10-29 × 3.0 × 108)/(6.6 × 10-34) = 1.5 × 1013 Hz.

Thus the frequency is 1.5 × 1013 Hz, which corresponds to Option B.

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 27

If the work function of a material is 2eV, then minimum frequency of light required to emit photo-electrons is 

Detailed Solution: Question 27

Φ= hνλ => 2eV= 6.626 x 10-34 x ν

2 x 1.6 x 10-19= 6.626 x 10-34 x ν

On solving we get ν = 4.6 x 1014 Hz.

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 28

The maximum kinetic energy of photoelectrons emitted from a surface when photons of energy 6 eV fall on it is 4 eV. The stopping potential is

Detailed Solution: Question 28

Given, the maximum kinetic energy: Kmax​=4eV
If V0​ be the stopping potential, then Kmax​=eV0
⇒eV0​=4eV 
⇒V0​=4V

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 29

In an experiment of photoelectric emission for incident light of 4000 Â, the stopping potential is 2V. If the wavelength of incident light is made 3000 Â, then stopping potential will be

Detailed Solution: Question 29

The maximum kinetic energy for the photoelectrons is 
Emax​=hν−ϕ
where, ν is the frequency of incident light and ϕ is photoelectric work function of metal.
If Vo​ is the stopping potential then
eV0​=h(c/λ)​−ϕ .....................(since, ν=c/λ​)
As per the problem, for incident light of 4000Ao, the stopping potential is 2V. When the wavelength of incident light is reduced to 3000Ao, then the stopping potential will increase to value more than 2V(as per the above equation).

Chapter Test: Dual Nature of Matter and Radiation - 1 - Question 30

In the above experimental set up for studying photoelectric effect, if keeping the frequency of the incident radiation and the accelerating potential fixed, the intensity of light is varied, then

 

Detailed Solution: Question 30

The number of electrons emitted per second is observed to be directly proportional to the intensity of light. “Ok, so light is a wave and has energy. It takes electrons out of a metal, what is so special about that!” First of all, when the intensity of light is increased, we should see an increase in the photocurrent (number of photoelectrons emitted). Right?
As we see, this only happens above a specific value of frequency, known as the threshold frequency. Below this threshold frequency, the intensity of light has no effect on the photocurrent! In fact, there is no photocurrent at all, however high the intensity of light is.

The graph between the photoelectric current and the intensity of light is a straight line when the frequency of light used is above a specific minimum threshold value.

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