this is a nice question tht i found while surfing on the net.....

Lets Generalize Newtons-law of gravitation so that the force looks like this:



Here k is some constant.

 

Find n so that the developing circular paths in this field will be stable.

If for some n it is stable, and we push it a little then what will be the frequency of small oscillations, around the original path?

 

For a stable orbit,

u need to apply the condition for stable equillibrium

i.e second derivative of energy w.r.t x>0

we get   n<3

Bingo....now go ahead and find the frequency......

no yaar ashish....

the guy who answered has got the degree 'n' right.....

he's on the right track....