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Wave Optics

Question
CBSEENPH12039833
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Two radiations of photon energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of the maximum speeds of the emitted electrons is

  • 1:4

  • 1:2

  • 1:1

  • 1:5

Solution

B.

1:2

We have
1 half mv squared subscript max space equals space straight E minus straight ϕ Here space case space left parenthesis straight i right parenthesis 1 half mv subscript 1 space max end subscript superscript 2 space equals space left parenthesis 1 minus 0.5 right parenthesis eV Hence comma fraction numerator straight v subscript 1 space max end subscript superscript 2 over denominator straight v subscript 2 space max end subscript superscript 2 end fraction space equals 1 fourth fraction numerator straight v subscript 1 space max end subscript over denominator straight v subscript 2 space max end subscript space end fraction space equals 1 half

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