A photoelectric surface is illuminated successively by monochromatic… | MHT CET 2024 (10 May, Shift 2)

Q62MHT CET 2024 · 10 MAY · SHIFT 2Medium

Photoelectric Effect: Einstein's Equation

A photoelectric surface is illuminated successively by monochromatic light of wavelength ' $\lambda$ ' and $\left(\frac{\lambda}{2}\right)$ . If the maximum kinetic energy of the emitted photoelectrons in the first case is one-fourth that in the second case, the work function of the surface of the material is ( $c =$ speed of light, $h =$ Planck's constant $)$

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Answer: (c)

$K_1 = \frac{hc}{\lambda} - \phi$ , $K_2 = \frac{2hc}{\lambda} - \phi$ , with $K_2 = 4K_1$
$\frac{2hc}{\lambda} - \phi = \frac{4hc}{\lambda} - 4\phi \Rightarrow 3\phi = \frac{2hc}{\lambda}$
$\phi = \frac{2hc}{3\lambda}$ . So the answer is (c).

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