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Question

In Bohr theory, if En,Kn,Vn and rn denote total energy, kinetic energy, potential energy and radius of nth orbit respectively, which of the following is ( are) correct?

A
VnKn=2
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B
If rnExn then x=1
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C
Angular momentum in lowest orbit =0
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D
If 1rnZy, then y=1
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Solution

The correct options are
A VnKn=2
C If 1rnZy, then y=1
D If rnExn then x=1
From Bohr's Theory;

Kn=Ze29πϵr

Vn=Ze24πϵr

En=Ze28πϵr

Newton's second law; mv2r=Ze28πϵr

Angular Momentum = nh2π

Hence, Options "A", "B" & "D" are correct answers.

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