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Question: When a metallic surface is illuminated with monochromatic light of wavelength l, the stopping potent...

When a metallic surface is illuminated with monochromatic light of wavelength l, the stopping potential is 5V0. When the same surface is illuminated with light of wavelength 3l, the stopping potential is V0. Then the work function of the metallic surface is-

A

hc6λ\frac{hc}{6\lambda}

B

hc5λ\frac{hc}{5\lambda}

C

hc4λ\frac{hc}{4\lambda}

D

2hc4λ\frac{2hc}{4\lambda}

Answer

hc6λ\frac{hc}{6\lambda}

Explanation

Solution

5eV0 = hcλ\frac { \mathrm { hc } } { \lambda } – W ...(1)

eV0 = hc3λ\frac { \mathrm { hc } } { 3 \lambda } – W ...(2)

Solving equation (1) & (2)

– W = 5hc3λ5 W\frac { 5 \mathrm { hc } } { 3 \lambda } - 5 \mathrm {~W}

4W = ̃ W =