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Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius 'R' around the sun will be proportional to (a) R n (b) R (n-1/2) (c) R (n+1/2) (d) R (n-2/2)

Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius 'R' around the sun will be proportional to
 
(a) Rn
(b) R(n-1/2)
(c) R(n+1/2)
(d) R(n-2/2)

Grade:6

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago

(c) F = KR-n = MR?2 ? ?2 = KR-(n+1)

or ? = KR

2p/T ? R-(n+1/2)

? T ? R+(n+1)/2

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