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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

`1.2xx10^(14)`Hz

B

`8xx10^(15)` Hz

C

`1.2xx10^(16)` Hz

D

`4xx10^(12)` Hz

Text Solution

Verified by Experts

The correct Answer is:
B
`(K.E)_(1)=hv_(1)-hv_(0)
(K.E)_(2)=hv_(2)-hv_(0)
As" "(K.E)_(1)=2xx(K.E)_(2)
therefore" "(hv_(1)-hv_(0))=2(hv_(2)-hv_(0))
or" "v_(0)=2v_(2)-v_(1)=2xx(2xx10^(16))-(3.2xx10^(16))
=0.8xx10^(16)Hz or 8xx10^(15)Hz`
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