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Question

When the light of frequency 2ν0 (where ν0 is a 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 5ν0, the maximum velocity of electrons emitted from the same plate is v2. The ratio of v1 to v2 is

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

The correct option is A 1 : 2
From Einstein's equation of photoelectric,
12 mv12 = 2hν0 hν0 .............(1)12 mv22 = 5hν0 hν0 ..............(2)(1)÷(2)v1v2=14 = 12

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