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Photons of energy 2eV and 2.5eV successi...

Photons of energy 2eV and 2.5eV successively illuminate a metal whose work function is 0.5 eV. The ratio of maximum speed of emitted electron is ________.

A

`sqrt3 :2`

B

`2:1`

C

`1:2`

D

`2:sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
`K.E_("max") = hv - phi`
`1/2 mv^2 = hv - phi`
`(v_1^2)/(v_2^2) = (2- 0.5)/(2.5 -0.5) = (1.5)/(2) = 3/4`
`(v_1)/(v_2) = sqrt(3)/2`
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