Suppose the gravitational force varies inverselyas the nth power of distance. Then the time period of planet in circular orbit of radius R around the sun will be proportional to ..........

Suppose the gravitational force varies inverselyas the nth power of di

1.	Suppose the gravitational force varies inverselyas the nth power of distance. Then the time period of planet in circular orbit of radius R around the sun will be proportional to ..........
Answer» `R^(((n+1)/2))` `R^(((n-1)/2))` `R^n` `R^(((n-2)/2))` Solution :`implies` Gravitational FORCE `F prop 1/r^n` `:. F = k/r^n` For ORBIT of radius R `F = k/(R^n)` but `F = momega^2R` `:.k/(R^n)=mR((2PI)/T)^2` `:. k/(R^(n+1)) = (m(2pi)^2)/T^2 ` `:. T^(2) prop R^(n+1)` `:. T prop R^((n+1)/2)`