Question

if the radii of circular paths of two particles of same masses are in the ratio 2:3 then to have a constant centripetal force their velocity should be in the ratio of​

Answer 1

ratio of their velocities would be √2 : √3

if the radii of circular paths of two particles of same masses are in the ratio 2:3 then to have a constant centripetal force their velocity should be in the ratio of

radius of circular paths of two particles of same masses are in the ratio 2 : 3.

i.e., r1 : r2 = 2 : 3

centripetal force remains constant.

so, F = mv²/r = constant.

⇒v² ∝ r ⇒v ∝ √r

so ratio of their velocities would be √r1 : √r2

= √2 : √3

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Answer 2

$\huge\bold\purple{Answer:-}$

if the radii of circular paths of two particles of same masses are in the ratio 2:3 then to have a constant centripetal force their velocity should be in the ratio of

radius of circular paths of two particles of same masses are in the ratio 2 : 3.

i.e., r1 : r2 = 2 : 3

centripetal force remains constant.

so, F = mv²/r = constant.

⇒v² ∝ r ⇒v ∝ √r

so ratio of their velocities would be √r1 : √r2

= √2 : √3