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Question

When the light of frequency 2v0 (where v0 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 increased to 5v0, the maximum velocity of electrons emitted from the same plate is v2. The ratio of v1 to v2 is?

A
4:1
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B
1:2
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C
2:1
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D
1:4
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Solution

The correct option is B 1:2
We know that,
K.E.=hνϕ0
where ϕ can be written as hν0
When ν=2ν0
K.E.1=mv212=2hν0hν0
V1=2hν0m
Similarly we can find that
V2=4hν0m
Hence,
V1V2=1/2

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