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
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