1.

 Suppose the gravitational force varies inversely as the \[{{n}^{th}}\] power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to                                         [AIEEE 2004]

A.                 \[{{R}^{\left( \frac{n+1}{2} \right)}}\]           
B.                 \[{{R}^{\left( \frac{n-1}{2} \right)}}\]
C.                 \[{{R}^{n}}\]     
D.                 \[{{R}^{\left( \frac{n-2}{2} \right)}}\]
Answer» B.                 \[{{R}^{\left( \frac{n-1}{2} \right)}}\]


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