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Question

If the wavelength is brought down from 6000˚A to 4000˚A in a photoelectric experiment, then what will happen ?

A
The work function of the metal will increase
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B
The threshold frequency will decrease
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C
No change will take place
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D
Cut off voltage will increase
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Solution

The correct option is D Cut off voltage will increase
We know,
Stopping potential (or cut off voltage) is given by Vo=hce(1λ)ϕe
where λ is the wavelength of the incident photon.
Since work function ϕ is the property of the metal surface, thus it does not depend on the wavelength of incident photon. Hence ϕ remains the same.
As per the equation,
when the wavelength of the incident photon decreases, the stopping potential will increase according to the equation.

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