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When a body is projected vertically up, at a point ‘P’ in its path, the ratio of potential energy to kinetic energy is 2:3. If the same body is projected up with double the previous velocity, the ratio of potential energy to kinetic energy of the body, at the same point ‘P’ is

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4 : 9

1 : 9

2 : 25

2 : 9

answer is B.

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Detailed Solution

If PE = 2x and KE = 3x, then total energy is 5x

When the velocity is double, kinetic energy or total energy becomes 4 times i.e. 20x

Potential energy remains 2x ,so kinetic energy becomes 20x - 2x = 18x

So the ratio of potential to kinetic energy becomes 1 : 9.

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