Radiation of two photon energies twice and five times the work-function of metal are incident successively on the metal surface. The ratio of the maximum velocity of photo electrons emitted in the two cases will be

# Radiation of two photon energies twice and five times the work-function of metal are incident successively on the metal surface. The ratio of the maximum velocity of photo electrons emitted in the two cases will be

1. A

1 :2

2. B

2 :1

3. C

1 :4

4. D

4 :1

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### Solution:

Here we have
$2{\mathrm{W}}_{0}-{\mathrm{W}}_{0}=\frac{1}{2}{\mathrm{mv}}_{1}^{2}$
and $5{\mathrm{W}}_{0}-{\mathrm{W}}_{0}=\frac{1}{2}{{\mathrm{mv}}_{2}}^{2}$
Dividing eq .(1) by eq . (2) we get

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