Question
Define the terms
$(i)$ 'cut$-$off voltage' and
$(ii)$ 'threshold frequency' in relation to the phenomenon of photoelectric effect.
Using Einstein's photoelectric equation show how the cut$-$off voltage and threshold frequency for a given photosensitive material can be determined with the help of a suitable plot/graph.

Answer

Cut $-$ off voltage : The minimum negative potential $(V_0)$ applied to the plate or anode $(A)$ for which the photoelectric current just becomes zero,
Threshold frequency : The minimum frequency of incident radiation which is required to have photo electrons emitted from a given metal surface.
As per Einstein's photoelectric equation. $\text{eV}_{0} = \text{hv} - \text{hv}_{0},$ for $\text{v} > \text{v}_{0}$
$\text{v}_{0} = \frac{\text{h}}{\text{e}}(\text{v} - \text{v}_{o} ) $
Hence the intercept, on the $v-$ axis, gives $v_0$.​​​​​​​

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