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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 v 1 . 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 v 2 . The ratio of 2 2 2 1 v : v is

1. 1 : 2
2. 1 : 3
3. 1 : 2
4. 1 : 3

Correct answer: 1 : 2

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