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Question: When radiation is incident on a photoelectron emitter, the stopping potential is found to be 9 volts...

When radiation is incident on a photoelectron emitter, the stopping potential is found to be 9 volts. If e/m for the electron is 1.8×1011Ckg11.8 \times 10^{11}Ckg^{- 1} the maximum velocity of the ejected electrons is

A

6×105ms16 \times 10^{5}ms^{- 1}

B

8×105ms18 \times 10^{5}ms^{- 1}

C

1.8×106ms11.8 \times 10^{6}ms^{- 1}

D

1.8×105ms11.8 \times 10^{5}ms^{- 1}

Answer

1.8×106ms11.8 \times 10^{6}ms^{- 1}

Explanation

Solution

12mvmax20\frac{1}{2}mv_{\max}^{2_{0}}

v2(em).V0max{v\sqrt{2\left( \frac{e}{m} \right).V_{0}}}_{\max}

=2×1.8×1011×9=1.8×106m/s= \sqrt{2 \times 1.8 \times 10^{11} \times 9} = 1.8 \times 10^{6}m/s