A satellite is revolving in a circular orbit at a height h above the surface of the earth of radius R . The speed of the satellite in its orbit is one fourth the escape velocity from the surface of the earth. The relation between h and R is

Question

A satellite is revolving in a circular orbit at a height h above the surface of the earth of radius R . The speed of the satellite in its orbit is one fourth the escape velocity from the surface of the earth. The relation between h and R is, h = 2 R, h = 3 R, h = 5 R, h = 7 R

MARKS App · Accepted Answer

υ 0 = 1 4 υ e G M ( R + h ) = 1 4 2 G M R G M ( R + h ) = 1 16 × 2 G M R R + h = 8 ( R ) R + h = 8 R 7 R = h

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