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11.(JEE Main 2017 (Online) 9th April Morning Slot )

A Laser light of wavelength 660 nm is used to weld Retina detachment. If a Laser pulse of width 60 ms and power 0.5 kW is used the approximate number of photons in the pulse are :

[Take Planck's constant h = 6.62 × 10 34 Js]

(A) 1020

(B) 1018

(C) 1022

(D) 1019

Correct answer is option A

The power of the given laser light is expressed as

P = n h c λ t

from which the number of photons per second is given by

n = P ( λ t h c ) = ( 5 × 10 2 ) × [ ( 660 × 10 9 ) ( 60 × 10 3 ) ( 6.6 × 10 34 ) ( 3 × 10 8 ) ]

= 100 × 10 18 = 10 20



12. (AIEEE 2010 )

If a source of power 4 k W produces 10 20 photons/second, the radiation belongs to a part of the spectrum called

(A) X - rays

(B) ultraviolet rays

(C) Microwaves

(D) γ - rays

Correct answer is option A

Power, P = n h v t

v = P × t n h

= 4 × 10 3 × 1 10 20 × 6.63 × 10 34 = 6 × 10 16 H z



13. (AIEEE 2007 )

Photon of frequency v has a momentum associated with it. If c is the velocity of light, the momentum is

(A) h v / c

(B) v / c

(C) h v c

(D) h v / c 2

Correct answer is option A

Energy of a photon of frequency v is given by E = h v .

Also, E = m c 2 , m c 2 = h v

m c = h v C p = h v c



14.(AIEEE 2005 )

A photocell is illuminated by a small bright source placed 1 m away. When the same source of light is placed 1 2 m away, the number of electrons emitted by photo-cathode would

(A) increases by a factor of 4

(B) decreases by a factor of 4

(C) increases by a factor of 2

(D) decreases by a factor of 2

Correct answer is option A

I 1 r 2 ; I 1 I 2 = ( r 2 r 1 ) 2 = 1 4

I 2 4 times I 1

When intensity becomes 4 times, no. of photoelectrons emitted would increase by 4 times, since number of electrons emitted per second is directly proportional to intensity.