A solid sphere of mass ‘m’ and radius ‘r’ is allowed to roll without slipping from the highest point of an inclined plane of length ‘L’ and makes

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📘Question

A solid sphere of mass m and radius r is allowed to roll without slipping from the highest point of an inclined plane of length ‘L’ and makes an angle 30º with the horizontal. The speed of the particle at the bottom of the plane is v1. If the angle of inclination is increased to 45º while keeping L constant. Then the new speed of the sphere at the bottom of the plane is v2. The ratio of v^2 1: v^2 2 is

                                                                      (JEE-2025) 

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Ans. (1)

A solid sphere of mass m and radius r is allowed to roll without slipping from the highest point of an inclined plane of length ‘L’ and makes an angle 30º with the horizontal. The speed of the particle at the bottom of the plane is v1. If the angle of inclination is increased to 45º while keeping L constant. Then the new speed of the sphere at the bottom of the plane is v2. The ratio of v^2 1: v^2 2 is

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