The electric field component of an $EM$ radiation varies with time as $E = a(\cos \omega_{0} t + \sin \omega t \cos \omega_{0} t)$, where '$a$' is a constant, $\omega = 10^{15} \text{ s}^{-1}$, and $\omega_{0} = 5 \times 10^{15} \text{ s}^{-1}$. This radiation falls on a metal whose stopping potential is $2 \text{ V}$. Which of the following statement$(s)$ is/are true? $(h = 6.62 \times 10^{-34} \text{ J s})$

  • A
    For light of frequency $\omega$, the photoelectric effect is not possible.
  • B
    The stopping potential vs. frequency graph will be a straight line.
  • C
    The work function of the metal is $2 \text{ eV}$.
  • D
    The maximum kinetic energy of the photoelectrons is $1.95 \text{ eV}$.

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