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Dual Nature of Radiation and Matter

  1. For photoelectric emission from certain metal the cut-off frequency is ν. If radiation of frequency 2ν impinges on the metal plate, the maximum possible velocity of the emitted electron will be (m is the electron mass)
    1. ​√ hv/m
    2. 2hv/m
    3. 2√ hv/m
    4. hv/(2m)
Correct Option: B

​From photo-electric equation,
​hν' = hν +
Kmax ​​​...(i)

h.2v = hv +
1
mV2max
2

[∴ v' = 2v]
⇒ hv =
1
mV2max
2

⇒ vmax =
2hv
m



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