A photoelectric surface is illuminated successively by monochromatic… | MHT CET 2024 (11 May, Shift 2)

Q61MHT CET 2024 · 11 MAY · SHIFT 2Medium

Photoelectric Effect: Einstein's Equation

A photoelectric surface is illuminated successively by monochromatic light of Wavelength $\lambda$ and $(\lambda/3)$ . If the maximum kinetic energy of the emitted photoelectrons in the second case is 4 times that in the first case, the work function of the surface of the material is $(h =$ Planck's constant, $c =$ speed of light $)$

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Answer: (c)

$K_1 = \frac{hc}{\lambda} - \phi$ , $K_2 = \frac{3hc}{\lambda} - \phi$ , with $K_2 = 4K_1$
$\frac{3hc}{\lambda} - \phi = \frac{4hc}{\lambda} - 4\phi \Rightarrow 3\phi = \frac{hc}{\lambda}$
$\phi = \frac{hc}{3\lambda}$ . So the answer is (c).

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