Gravitation Question 347

Question: A satellite is launched in the equatorial plane in such a way that it can transmit signals up to [60] latitude on the earth. The angular velocity of the satellite is

Options:

A) [GM8R3]

B) [GM2R3]

C) [GM4R3]

D) [33GM8R3]

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Answer:

Correct Answer: A

Solution:

  • In [ΔAOB:cos60=R\RightarrowOB=2R]

    Here gravitational force will provide the required centripetal force.

    Hence.[GMm(OB)2=m(OB)ω2] [ω=GM(OB)3=GM(2R)3ω=GM8R3]



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