Statement $1$: $A$ metal surface is irradiated by monochromatic light of frequency $v > v_0$. The maximum kinetic energy and stopping potential are $K_{max}$ and $V_0$ respectively. If the frequency of the incident light is doubled, then $K_{max}$ and $V_0$ will also be doubled. Statement $2$: The stopping potential and maximum kinetic energy of photoelectrons emitted from a surface depend linearly on the frequency of the incident light.

• A
  Statement $1$ is true, Statement $2$ is true, Statement $2$ is not the correct explanation of Statement $1$.
• B
  Statement $1$ is false, Statement $2$ is true.
• C
  Statement $1$ is false, Statement $2$ is false.
• D
  Statement $1$ is true, Statement $2$ is true, Statement $2$ is the correct explanation of Statement $1$.