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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

`10^(-4) m//s`

B

`2 xx 10^(-2) m//s`

C

`4.2 m//s`

D

`3.8 xx 10^(-2) m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
(a) `DeltaE=13.6 (1/1^(2)-1/5^(2))=(hc)/lambda+1/2 mv^(2)`
(b) `0=mv-h/lambda`
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Knowledge Check

  • The recoil speed of a hydrogen atom after it emits a photon in going from n=5 , state to n=1 state is (in ms^(-1) )

    A
    4.718
    B
    7.418
    C
    4.178
    D
    7.148

  • The recoil speed of a hydrogen atom after it emits a photon in going from n = 5 state to n = 1 state will be :-

    A
    4.17 m/s
    B
    2.19 m/s
    C
    3.25 m/s
    D
    4.34 m/s

  • The recoil speed of hydrogen atom after it emits a photon in going from n = 2 state to n = 1 state is nearly [Take R_(oo) = 1.1 xx 10^(7) m and h = 6.63 xx 10^(-34) J s]

    A
    `1.5 m s^(-1)`
    B
    `3.3 m s^(-1)`
    C
    `4.5 m s^(-1)`
    D
    `6.6 m s^(-1)`

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