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Q.

An orbiting satellite will escape ifa) its speed increases by 41.4%b) its speed in the orbit is made 1.414 times that of its initial valuec) its kinetic energy increases by 100%d) its kinetic energy is made √2 times that of its initial value

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a

only a & b are correct

b

only a & c are correct

c

only b & c are correct

d

only c is correct

answer is B.

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Detailed Solution

For  circular orbit , orbital soeed of the satellite  V0=GMr.Again escape velocity at any point on the circular orbit Ve=2GMrVe-VV×100=41.4%.:  Increase in SpeedIncrease in K.E12mve2-12mv212mv2×100
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An orbiting satellite will escape ifa) its speed increases by 41.4%b) its speed in the orbit is made 1.414 times that of its initial valuec) its kinetic energy increases by 100%d) its kinetic energy is made √2 times that of its initial value