Question
Assertion : When ultraviolet light is incident on a photocell, its stopping potential is $V_0$ and the maximum kinetic energy of the photoelectrons is $K_{max}$ .When the ultraviolet light is replaced by $X-$ rays, both $V_0$ and $K_{max}$ increase.
Reason : Photoelectrons are emitted with speeds ranging from zero to a maximum value because of the range of frequencies present in the incident light.

Answer

We know that $eV_0 = K_{max} = hv -\phi $ where, $\phi $ is the work function . Hence, as $v$ increases (note that frequency of $X-$ rays is greater than that of $U.V.$ rays), both $V_0$ and $K_{max}$ increase. So assertion is correct.

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