Single Choice

If the wavelength is brought down from $$6000 \mathring{A}$$ to $$4000 \mathring{A}$$ in a photoelectric experiment, then what will happen ?

AThe work function of the metal will increase
BThe threshold frequency will decrease
CNo change will take place
DCut off voltage will increase
Correct Answer

Solution

We know,
Stopping potential (or cut off voltage) is given by Vo=
hc
e

(
1
λ

)−
ϕ
e

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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