JEE Advanced 2024 Physics question
A particle of mass is moving in a circular orbit under the influence of the central force , corresponding to the potential energy , where is a positive force constant and is the radial distance from the origin. According to the Bohr's quantization rule, the angular momentum of the particle is given by , where , is the Planck's constant, and a positive integer. If and are the speed and total energy of the particle, respectively, then which of the following expression(s) is(are) correct?
Answer: (A),(B),(C)
Solution
Circular motion: . (C) – correct. Quantisation: mr^2$ = = n ⇒ =
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