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Q.

Because of the effect of the air drag abandoned satellites, at the end of their usual lives lose energy in the upper layers of atmosphere, before finally burning up when they reach the denser lower layers. It can be shown that the satellite originally moving along circular trajectories will continue to travel in approximately circular orbits, with their orbital radii slowly decreasing. Drag force acting on satellite can be expressed as  Fdrag=Cρv2 where  ρ  is  density  of air at the altitude  of satellite , v is speed and C is constant. Mark the incorrect statement: -

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a

During slow decrease in radius of orbit, gravitational force is not exactly perpendicular to velocity of satellite.

b

The rate of change in magnitude of potential energy is less than rate change in kinetic energy during the motion of the satellite

c

If change in orbital radius is Δr during a single revolution then expression for density of air is  ρ=14πCmr2Δr

d

Speed of satellite decrease as it approaches earth due to tangential drag force.

answer is B.

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