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Questions  

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
3.25 m/s
c
4.34 m/s
d
2.19 m/s

detailed solution

Correct option is A

Applying Conservation of Momentum,Patom =Pphoton ⇒MVrecoil =hλ=Rh112−152Vrecoil =Rhm2425=1.09×107×6.63×10−34×241.67×10−27×25≈4.17ms−1

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Figure shows the energy levels P, Q, R, S and G of an atom where G is the ground state. A red line in the emission spectrum of the atom can be obtained by an energy level change from Q to S. A blue line can be obtained by following energy level change


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