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JEE PHYSICS MCQ: GRAVITATION

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A uniform circular ring of radius

R

is fixed in plane. A particle is placed on the axis of the ring at a distance much greater than

{R}

and allowed to fall towards the ring under the influence of the ring's gravity. The particle achieves a maximum speed

v

. The ring is replaced with one of the same (linear) mass density but radius

2 R

, and the experiment is repeated. What is the new maximum speed of the particle?

View answer and explanation

Correct option: C

v

Option C is correct because the potential energy difference is independent of the radius, leading to the same maximum speed.

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11.2\mathrm{\;\;km}{\mathrm{s}^{ - 1}}

. If the body is projected in a direction making an angle of

{45^0}

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v_e

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\theta

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