Q.

The wave number of energy emitted when electron jumps from fourth orbit to second orbit in hydrogen in 20,497 cm-1. The wave number of energy for the same transition in He+ is

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a

5,099 cm-1

b

20,497 cm-1

c

40,994 cm-1

d

81,988 cm-1

answer is D.

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Detailed Solution

v¯=1λ=Rz21n12−1n22;∴v¯ α z2∴v¯1v¯2=z1z22;∴20497v¯2=122∴v¯2=81988
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The wave number of energy emitted when electron jumps from fourth orbit to second orbit in hydrogen in 20,497 cm-1. The wave number of energy for the same transition in He+ is