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.

  • A
    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.

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If the maximum kinetic energy of emitted electrons in the photoelectric effect is $3.2 \times 10^{-19} \text{ J}$ and the work function for the metal is $6.63 \times 10^{-19} \text{ J}$,then the stopping potential and threshold wavelength respectively are:
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