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Question

The threshold frequency v0 for a metal is 7.0×1014sec1. Calculate the kinetic energy of an electron emitted when radiation of frequency. v=1.0×1015sec1.

A
4.768×1019 Joules
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B
2.6×1019 Joules
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C
1.98×1047 Joules
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D
1.98×1019 Joules
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Solution

The correct option is B 1.98×1019 Joules
According to Einstein's photoelectric equation,
Kinetic energy imported to the ejected electron is given by,
K.E=h×(νν0)
ν=1×1015sec1 is the frequency of incident light, ν0=7×1014sec1 is the threshold frequency
K.E=6.626×1034Js (10×1014 7×1014)sec1
K.E=1.98×1019J

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