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When the hydrogen atom emits a photon in going from n = 5 to n = 1 state, its recoil speed is nearly

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a
10−4ms−1
b
2×10−2ms−1
c
4ms−1
d
8×102ms−1

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detailed solution

Correct option is C

Photon energy =hf=13.61−125eV=13eVPhoton momentum = momentum of hydrogen atom:⇒ p=hfc  or  mv=hfc⇒v=hfmc=Emc=13×1.6×10−191.67×10−27×3×108=4ms−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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