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Q.

Velocity of the electron in third orbit of $L i^{2 +}$ is equal to velocity of the electron in

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a

Second orbit of $H e^{+}$

b

First orbit of $H$

c

Third orbit of $B e^{3 +}$

d

First orbit of $H e^{+}$

answer is A, B.

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Detailed Solution

Velocity of the electron of the species with atomic nu $2 V$ mber Z in nth orbit is $(2.182 \times 10^{6}) \frac{Z}{n} m s^{- 1}$

	n	Species	Z	V
	3	$L i^{2 +}$	3	$2.182 \times 10^{6} m s^{- 1}$
a)	2	$H e^{+}$	2	$2.182 \times 10^{6} m s^{- 1}$
b)	1	$H$	1	$2.182 \times 10^{6} m s^{- 1}$
c)	3	$B e^{2 +}$	4	$\frac{4}{3} v$ of $L i^{2 +}$
d)	1	$H e^{+}$	2	$2 V$ of $L i^{2 +}$

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