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BITSAT2010PhysicsGravitationActual

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

Options

  1. AR ^ n
  2. BR ^ ( n -1 2 )
  3. CR ( n +1 2 )
  4. DR ^ ( n -2 2 )

Correct answer

C. R ( n +1 2 )

Step-by-step solution

F = KR ^ - n = MR ² ²= KR ^ -( n +1) or = K ^ R ^ -( n +1) 2 [where K ^ = K ^ 1 / 2 , a constant ] 2 T R^ -(n+1) 2 T R^ (n+1) 2

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