A satellite is orbiting round the earth. In a particular orbit its time period is T and orbital speed is V.
In another orbit the orbital speed is 2V, then time period will be

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T/2

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T/8

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Solution

The correct option is D T/8
Time period, $T \propto v^{- 3}$
$\frac{T_{1}}{T_{2}} = \frac{(v_{2})^{3}}{(v_{1})^{3}}$
$\frac{T_{2}}{T} = \frac{(v^{3}}{(2 v)^{3}}$
Therefore, $T_{2} = \frac{T}{8}$
Hence, Option D is answer.

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A satellite is orbiting round the earth. In a particular orbit its time period is T and orbital speed is V.In another orbit the orbital speed is 2V, then time period will be

The correct option is D T/8Time period, T∝v−3T1T2=(v2)3(v1)3T2T=(v3(2v)3Therefore, T2=T8Hence, Option D is answer.

A satellite is orbiting round the earth. In a particular orbit its time period is T and orbital speed is V.
In another orbit the orbital speed is 2V, then time period will be

The correct option is D T/8
Time period, $T \propto v^{- 3}$
$\frac{T_{1}}{T_{2}} = \frac{(v_{2})^{3}}{(v_{1})^{3}}$
$\frac{T_{2}}{T} = \frac{(v^{3}}{(2 v)^{3}}$
Therefore, $T_{2} = \frac{T}{8}$
Hence, Option D is answer.