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The recoil speed of a hydrogen atom af...

The recoil speed of a hydrogen atom after it emits a photon is going form n=5 state to n =1 state is ….. m/s.

A

`3.25` m/s

B

`2.19` m/s

C

`4.34`m/s

D

`4.17`m/s

Text Solution

Verified by Experts

The correct Answer is:
D

Momentum (P) = `(DeltaE)/C rArr ((13.6 -0.54)eV)/(3xx10^(8))`
`mv = ((13.06)xx1.6xx10^(-19))/(3xx10^(8))`
`v = ((13.06)xx1.6 xx10^(-19))/(3xx10^(8)xx1.67 xx10^(-27))rArr 4.17` m/sec.
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