Question: Q. 2. Using Bohr’s postulates, derive the expression for the orbital period of the electron moving in the nth  orbit of hydrogen atom.

R [Foreign, I, II, III 2017]

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Solution:

Ans.

mvr=nh2π. Bohr postulate 1/2

Also,

mv2r=14πε0e2r2

mv2r=e24πε0 v=e24πε0×2πnh=e22ε0nh

1/2

(Also accept if the student calculates T by obtaining expressions for both v and r.)

[CBSE Marking Scheme 2017]



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