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Q.

The threshold frequency of a metal is f0 . When the light of frequency 2f0  is incident on the metal plate, the maximum velocity of photoelectrons is v1  . When the frequency of incident radiation is increased to 5f0  , the maximum velocity of photoelectrons emitted is v2 .  Then  v1+v2= 2hf0m(x),  where  x=____.

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a

b

17 

c

d

5

answer is A.

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Detailed Solution

Threshold frequency =f0 
According to the Einstein’s photoelectric equation,  KEmax=Eϕ
Case I :  12mv12=h×2f0hf0or12mv12=hf0

Case II :  12mv22=h×5f0hf0  or  12mv22=4hf0
 v1=2hf0m , v2=8hf0m 

v1+v2=2hf0m[1+2]

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