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A certain metal when irradiated to lig...

A certain metal when irradiated to light `(v = 3.2 xx 10^(16) Hz)` emits photoelectrons with twice kinetic energy as did photoelectrons when the same metal is irradiation by light `( v = 2.0 xx 10^(16)Hz)`. The `v_(0)` (Threshold frequency) of the metal is

A

`1.2 xx 10^(14) Hz`

B

`8 xx 10^(15) Hz`

C

`1.2 xx 10^(16) Hz`

D

`4 xx 10^(12) Hz`

Text Solution

Verified by Experts

The correct Answer is:
B
`(K.E.)_(1) = 2 (K.E.)_(2)`
`hv_(1) - hv_(0) = 2(hv_(2) - hv_(0))`
or `hv_(0) = 2h v_(2) - hv_(1)`
or `v_(0) = (2v_(2)-v_(1))`
`= 2 xx 2 xx 10^(16) - 3.2 xx 10^(16)`
`= 8 xx 10^(15) Hz`.
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