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Question

The speed of the particle that can take discrete values is proportional to
  1. n1
  2. n
  3. n3/2
  4. n1/2

A
n1
B
n3/2
C
n1/2
D
n
Solution
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As given in the question
Let the no. of loops in the wave be n
Let wavelength be λ
Debroglie wavelength
λ=hmv ------------(1)
Also
nλ=2πa --------------(2)
Substituting above
v=nh2am
vn
So, the answer is option (D).

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