If the surface of a metal is successively exposed to radiation of wavelengths $\lambda_1 = 350 \, nm$ and $\lambda_2 = 450 \, nm$,the maximum velocity of photoelectrons differs by a factor of $2$. The work function of this metal is:

  • A
    $2.8 \times 10^{-20} \, J$
  • B
    $6.1 \times 10^{-17} \, J$
  • C
    $3.2 \times 10^{-18} \, J$
  • D
    $4.0 \times 10^{-19} \, J$

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Given below are two statements:
Statement $I$: Stopping potential in photoelectric effect does not depend on the power of the light source.
Statement $II$: For a given metal,the maximum kinetic energy of the photoelectron depends on the wavelength of the incident light.
In the light of the above statements,choose the most appropriate answer from the options given below.

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