Dual Nature Of Radiation And Matter Ques 2

2. Light of frequency $1.5$ times the threshold frequency is incident on a photosensitive material. What will be the photoelectric current if the frequency is halved and intensity is doubled?

[2020]

(a) four times

(b) one-fourth

(c) zero

(d) doubled

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Answer:

Correct Answer: 2.(c)

Solution: (c) For photoelectric emission, photoelectric current, incident light frequency should be greater than threshold frequency.

Light of frequency $1.5$ times the threshold frequency $v_0$ incident.

$ v=\frac{3}{2} v_0 $

If frequency is halved,

$ \begin{aligned} & \therefore v^{\prime}=\frac{v}{2}=\frac{3}{4} v_0 \\ & \because v^{\prime}<v_0 \end{aligned} $

$\therefore$ No photoelectric emission will take place.