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In photoelectric emission, a radiation w...

In photoelectric emission, a radiation whose frequency is 4 times threshold frequency of a certainn metal is incident on the metal. The an the maximum possible velocity of the emitted electron will be…………………

A

`sqrt((hv_(0))/(m))`

B

`sqrt((6 hv_(0))/(m))`

C

`2 sqrt((hv_(0))/(m))`

D

`sqrt((hv_(0))/(2m))`

Text Solution

Verified by Experts

The correct Answer is:
B
From Einstein.s photoelectric equation
`K_(max) = h upsilon - h upsilon_(0)" "[upsilon = 4 upsilon_(0)]`
`(1)/(2) mV_(max)^(2) = 4 h upsilon_(0) - h upsilon_(0)`
`V_(max)^(2) = (6 h upsilon_(0))/(m)`
`V_(max) = sqrt((6 h upsilon_(0))/(m))`
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