1.

If the gravitational force is assumed to vary as the nth power of the distance, then the time period of a planet round the sun will be proportional to :

Answer»

`R^(N)`
`R^(-n)`
`R^((n+1)/(2))`
`(R )^((n-1)/(2))`

Solution :Gravitational force PROVIDES the necessary centripetal force
`therefore (mv^(2))/(R )=(GMm)/(R^(n)) rArr V= sqrt((GM)/(R^(n-1)))`
Now `T=(2PI R)/(v)= (2pi R)/(sqrt((GM)/(R^(n-1))))= 2pi sqrt((R^(n+1))/(GM))`
`rArr T prop R^(((n+1)/(2)))`
Thus correct choice is (c ).


Discussion

No Comment Found

Related InterviewSolutions