jee-main 2004 Q23

jee-main · India Not Maths
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
(1) $R ^ { \left( \frac { n + 1 } { 2 } \right) }$
(2) $R ^ { \left( \frac { n - 1 } { 2 } \right) }$
(3) $R ^ { n }$
(4) $\mathrm { R } ^ { \left( \frac { \mathrm { n } - 2 } { 2 } \right) }$ 
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\\
(1) $R ^ { \left( \frac { n + 1 } { 2 } \right) }$\\
(2) $R ^ { \left( \frac { n - 1 } { 2 } \right) }$\\
(3) $R ^ { n }$\\
(4) $\mathrm { R } ^ { \left( \frac { \mathrm { n } - 2 } { 2 } \right) }$
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