Question

A particle moves in a circular orbit under the action
of a central attractive force inversely proportional
to the distance ‘r’. The speed of the particle is
(a) proportional to r²
(b) independent of r
(c) proportional to r
(d) proportional to 1/r

Answer 1

Answer:

Centripetal force, F = mv2r so k/r = mv2r Thus, mv2 = k So, v is independent of r

Answer 2

Answer:

answer is (b)

Explanation:

as centripetal force is mv^2/r

and force is proportional to 1/r

hence r will get cancelled out from both sides and v is independent of r