Rotation period of an earth satellite close to surface of earth is 83 minutes. time period of anothe

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7.Gravitation

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The rotation period of an earth satellite close to the surface of the earth is $83$ minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface will be .......... $\min$

A

$83$

B

$83 \times \sqrt 8$

C

$664$

D

$249$

Solution

(c) For first satellite ${r_1} = R$ and $T_1 = 83\,minutes$

For second satellite ${r_2} = 4R$

${T_2} = {T_1}{\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^{3/2}} = {T_1}{(4)^{3/2}} $

$= 8{T_1} = 8 \times 83$

$=664 \,minutes$

Standard 11

Physics

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