JEE Advanced 2020 Physics question
A particle of mass moves in circular orbits with potential energy , where is a positive constant and is its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the particle's orbit is denoted by and its speed and energy are denoted by and , respectively, then for the orbit (here is the Planck's constant)
Answer: (B),(C)
Solution
The force is (attractive, constant magnitude). Circular motion: ...(1). Bohr quantisation: ...(2). From (2), ; substituting in (1): $ = F ⇒ R =
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