MCQ
Statement $-1$ : 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.
Statement $-2$ : Photoelectrons are emitted with speeds ranging from zero to a maximum value because of the range of frequencies present in the incident light
  • Statement $-1$ is true, Statement $-2$ is false.
  • B
    Statement $-1$ is true, Statement $-2$ is true ; Statement $-2$ is the correct explanation of Statement$-1$
  • C
    Statement $-1$ is true, Statement $-2$ is true ; Statement $-2$ is not the correct explanation of Statement$-1$
  • D
    Statement $-1$ is false, Statement $-2$ is true.

Answer

Correct option: A.
Statement $-1$ is true, Statement $-2$ is false.
a
We know that

$e V_{0}=K_{\max }=h v-\phi$

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 statment $-\,1$ is correct.

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