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Q.

Photons of frequencies equal to the frequencies of $H_{β}$ and $H_{\infty}$ lines of hydrogen incident on a
photosensitive plate whose threshold frequency is equal to the frequency of $H_{α}$ line of hydrogen. The ratio of the maximum kinetic energies of the emitted electrons is.

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a

7 : 16

b

5 : 36

c

3 : 4

d

8 : 27

answer is A.

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Detailed Solution

$H_{α} = 13.6 [\frac{1}{2^{2}} \frac{- 1}{3^{2}}] H_{β} = 13.6 [\frac{1}{2^{2}} \frac{- 1}{4^{2}}] H_{\infty} = 13.6 [\frac{1}{2^{2}} \frac{- 1}{\infty^{2}}]$

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Photons of frequencies equal to the frequencies of Hβ and H∞ lines of hydrogen incident on a photosensitive plate whose threshold frequency is equal to the frequency of Hα line of hydrogen. The ratio of the maximum kinetic energies of the emitted electrons is.