Any radiation in the ultra-viloet region of hydrogen spectrum is able to eject photo-electrons from a metal. What should be the maximum value of threshold frequency for metal ?

3.288 \times 10^{15} H z

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2.460 \times 10^{15} H z

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4.594 \times 10^{14} H z

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8.220 \times 10^{14} H z

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Solution

The correct option is B $2.460 \times 10^{15} H z$
The lowest energy photon of lyman series i.e. $10.2 e V$ would have the highest required threshold frequency. Any lyman transition would have energy above this energy and would be able to eject electrons from metal. Therefore, $h v = 10.2 e V .$ Substitute value of h with proper units.

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