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Question

On reducing the wavelength of light incident on a metal, the velocity of emitted photoelectrons will become

A
Zero
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B
Less
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C
More
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D
Remains uchanged
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Solution

The correct option is C More
The wavelength of light is given as

λ=cν

And the maximum kinetic energy for the photoelectrons is

Emax=12mv2=hνϕ

where, m is the mass and v is the velocity of photoelectrons, ν is the frequency of incident light and ϕ is photoelectric work function of metal.
Hence, If wavelength of light incident on a metal is decreased, its frequency will increase and hence the velocity of photoelectrons will also increase i.e. be more than earlier
So, the answer is option (C).

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