Question

25. The rotational period of a satellite close to the
surface of the earth is 83 minutes The time period
of another earth satellite In an orbit at a four times
the radius of earth from its surface will be
a) 83 minutes b) 83x V8 min utes
c) 664 minutes d) 249 minutes​

Answer 1

Answer:

25. The rotational period of a satellite close to the

surface of the earth is 83 minutes The time period

of another earth satellite In an orbit at a four times

the radius of earth from its surface will be

a) 83 minutes b) 83x V8 min utes

c) 664 minutes d) 249 minutes

Explanation:

The answer is c

Answer 2

The time period  of another earth satellite is 664 minutes.

Explanation:

The time period and radius of the earth is given by the equation:

T² ∝ R³

Now, the earth satellite and another earth satellite is:

T₁²/T₂² = R₁³/R₂³

T₂² = T₁² (R₂³/R₁³)

On taking square root on both sides, we get,

T₂ = T₁ $(R_2/R_1)^{3/2}$

On substituting the values, we get,

T₂ = 83 $((R + 3R)/R)^{3/2}$

T₂ = 83 × $4^{3/2}$

∴ T₂ = 664 minutes