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Question

Electrons are emitted with zero velocity from a metal surface, when it is exposed to a radiation of wavelength 6800 Å . Then work function of metal is


A

2.92 X 10-19 ergs

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B

2.92 X 10-19 J

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C

2.92 X 10-19 eV

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D

2.92 X 10-19 Cal

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Solution

The correct option is

D

2.92 X 10-19 J

Wavelength of radiation is =6800×1010m

Now threshold frequency

vo=cλ

vo=3×108ms16800×1010m=4.41×1014s1

(work function) =

w = hv0

=

6.626×1034Js×4.41×1014s1

Workfunction=2.92×1019J


= hcλ0 = 6.625 × 1034 × 3 × 1086.8 1010 × 103

= 3 × 6.625 × 10196.8

= 2.92 × 1019 J


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