1.

For given metal plate threshold frequency is V_(0). When radiation of 2V_(0) is incident on metal surface ,maximum velocity of photoelectron emitted is V_(1) when frequency of incident radiation is charged to 5V_(0) ,maximum velocity of photoelectron emitted is v_(2).Ration of v_(1) and v_(2) is .....

Answer»

`2:1`
`1:2`
`4:1`
`1:4`

Solution :From Einstein equation
`(1)/(2)mv_(1)^(2)=h(2v_(0))-hv_(0)`
`therefore (1)/(2)mv_(1)^(2)=hv_(0)`…..(1)
and `(1)/(2)mv_(1)^(2)=h(5v_(0))-hv_(0)`
`(1)/(2)mv_(2)^(2)=4hv_(0)`……..(2)
`therefore` TAKING ratio of (1) and (2) ,
`((v_(1)^(2))/(v_(2)^(2)))=(1)/(4)`
`therefore (V_(1))/(v_(2))=SQRT((1)/(4))=(1)/(2)`
`therefore` Ratio of `v_(1)` and `v_(2)` is 1:2


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