A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the nth power of R. If the period of rotation of the particle is T, then:
A. T ∝ R(n+1)/2
B. T ∝ Rn/2
C. T ∝ R3/2 for any n
D. T ∝ R\(\frac{n}{2}\)+1
Answer:A
A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the nth power of R. If the period of rotation of the particle is T, then:
A. T ∝ R(n+1)/2 B. T ∝ Rn/2 C. T ∝ R3/2 for any n D. T ∝ R\(\frac{n}{2}\)+1