First slide

Photoelectric effect and study of photoelectric effect

Question

Work function of nickel is 5.01 eV. When ultraviolet radiation of wavelength 200 $\overset{o}{A}$ is incident on it, electrons are emitted. What will be the maximum velocity of emitted electrons?

Moderate

A

$3 \times 10^{8} {ms}^{- 1}$
B

$6.46 \times 10^{5} {ms}^{- 1}$
C

$10.36 \times 10^{5} {ms}^{- 1}$
D

$8.54 \times 10^{6} {ms}^{- 1}$

Solution

$Energy corresponding to 2000 Å = 12375 / 2000 eV = 6 .2 eV$
E=W+KE
Maximum kinetic energy is
$\begin{array}{l} (6.2 - 5.01) eV = 1.19 eV \\ Now, \frac{1}{2} \times 9.1 \times 10^{- 31} \times v_{max}^{2} = 1.19 \times 1.6 \times 10^{- 19} \\ or v_{max}^{2} = \frac{1.19 \times 1.6 \times 10^{- 19} \times 2}{9.1 \times 10^{- 31}} \\ = 0.418 \times 10^{12} = 41.8 \times 10^{10} \\ or v_{max} = 6.46 \times 10^{5} {ms}^{- 1} \end{array}$

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