A satellite is launched into a circular orbit of radius 'R' around the earth. A second satellite is launched into an orbit of radius 1.03 R. The time period of revolution of the second satellite is larger than he first one approximately by: [2025]

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Solution

Q.
A satellite is launched into a circular orbit of radius 'R' around the earth. A second satellite is launched into an orbit of radius 1.03 R. The time period of revolution of the second satellite is larger than the first one approximately by: [2025]

1 3%

2 4.5%

3 9%

4 2.5%

Ans.
(2)

$T^{2} = K R^{3}$

$\frac{2 △ T}{T} = \frac{3 △ R}{R}$

$\frac{2 △ T}{T} = \frac{3 \times 0.03 R}{R}$

$\frac{△ T}{T} = \frac{3 \times 0.03}{2} \times 100 = 4.5 %$

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