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Q.

A satellite is orbiting the earth, if its distance from the earth is increased, its

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a

linear velocity would increase

b

angular velocity would increase

c

time period would increase

d

angular velocity would decrease

answer is C, D.

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Detailed Solution

Linear velocity or orbital velocity is v=GM/r where r is the distance of the satellite from the centre of the earth. Therefore, v decreases as r is increased.
Also v=, where ω is the angular velocity.

Therefore, ω=vr=1rGMr=GMr3

Thus, ω decreases with increase in r. The time period of the satellite is given by

T=2πr3GM

Thus, T increases as r is increased. Hence, the correct choices are (3) and (4).

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