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For photoelectric emission from certain ...

For photoelectric emission from certain metal, the cut-off frequency is v. If radiation of frequency `2v` implings on the metal plate, the maximum possible velocity of the emitted electron will be (m is the electron mass)

A

`sqrt(hv//(2m))`

B

`sqrt(hv//m)`

C

`sqrt(2hv//m)`

D

`2sqrt(hv//m)`

Text Solution

Verified by Experts

The correct Answer is:
C
Cutoff frequency = v
Work function `=phi =hv`
Use, `E=K.E. +phi`
`2hv=(1)/(2)mv^(2)+hv`
`(1)/(2)mv^(2)=2hv-hv=hv`
`v=sqrt((2hv)/(m))`
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