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Q.

when an electromagnetic radiation of wavelength 300 nm falls on the surface of metal electrons are ejected with a kinetic energy of 1.68 x 10⁵ Jmol^-1. Work function of the metal is

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a

4.946 x 10^-19 J

b

3.836 x 10^-19 J

c

4.946 x 10⁵J

d

3.836 x 10⁵ J

answer is C.

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Detailed Solution

$E_{photon} = w + KE$

KE per photon = $\frac{1.68 \times 10^{5}}{6.02 \times 10^{23}} = 2.79 \times 10^{- 19}$

W = $\frac{6.625 \times 10^{- 34} \times 3 \times 10^{8}}{300 \times 10^{- 9}} - 2.79 \times 10^{- 19}$ =3.836 x 10^-19J

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when an electromagnetic radiation of wavelength 300 nm falls on the surface of metal electrons are ejected with a kinetic energy of 1.68 x 105 Jmol-1. Work function of the metal is