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Q.

When the light of frequency 3ϑ0 (where ϑ0 is threshold frequency), is incident on a metal plate, the maximum velocity of electrons emitted is v1. When the frequency of the incident radiation is decreased to 2ϑ0, the maximum velocity of electrons emitted from the same plate is v2. The ratio of v1 to v2 is

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a

12

b

2

c

13

d

2

answer is B.

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Detailed Solution

According to the Einstein's photoelectric equation, E=W0+12mv2

When frequency of incident light is 3ϑ0

h3ϑ0=hϑ0+12mv122hϑ0=12mv12        ...........(i)

When frequency of incident light is 2ϑ0

h2ϑ0=hϑ0+12mv22hϑ0=12mv22             ........(ii)

Dividing (i) by (ii),

2=v12v22 or v1v2=2

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When the light of frequency 3ϑ0 (where ϑ0 is threshold frequency), is incident on a metal plate, the maximum velocity of electrons emitted is v1. When the frequency of the incident radiation is decreased to 2ϑ0, the maximum velocity of electrons emitted from the same plate is v2. The ratio of v1 to v2 is