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

(a) ${\mathrm{R}}^{\left(\frac{\mathrm{n}+1}{2}\right)}$                  (b) $\mathrm{R}\left(\frac{\mathrm{n}-1}{2}\right)$

(c) ${\mathrm{R}}^{\mathrm{n}}$                         (d) $\mathrm{R}\left(\frac{\mathrm{n}-2}{2}\right)$