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Question

A particle is projected with an initial velocity equal to escape velocity, then

A
the final potential energy is zero
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B
the initial potential energy is zero
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C
the final kinetic energy is greater than zero
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D
the final potential energy is greater than zero
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Solution

The correct option is A the final potential energy is zero
When the velocity of the particle is equal to escape velocity, the particle escapes from the influence of earth and its final mechanical energy is zero. Thus at infinity the particle is at rest or the kinetic and potential energy becomes zero at infinity
Thus option (a) is the correct option

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