A satellite is revolving round the Earth in an orbit of radius r with time period T. If the satellite is revolving round the earth in an orbit of radius r + Δr (Δr

Question

A satellite is revolving round the Earth in an orbit of radius r with time period T. If the satellite is revolving round the earth in an orbit of radius r + Δr (Δr << r) with time period T + ΔT(ΔT << T) then (Δ T/T) is (A)  (3/2) (Δ r/r) (B)  (2/3) (Δ r/r) (C)  (Δ r/r) (D)  (2 Δ r/r)

Tardigrade Admin · Accepted Answer

T2 = kr3 2 (Δ T/T) 3 (Δ r/r) (Δ T/T) = (3/2) (Δ r/r)

Q. A satellite is revolving round the Earth in an orbit of radius r with time period T. If the satellite is revolving round the earth in an orbit of radius r + $Δ$ r ( $Δ$ r << r) with time period T + $Δ$ T( $Δ$ T << T) then $\frac{Δ T}{T}$ is

$\frac{3}{2} \frac{Δ r}{r}$

$\frac{2}{3} \frac{Δ r}{r}$

$\frac{Δ r}{r}$

$\frac{2Δ r}{r}$

$T^{2} = k r^{3}$
$2 \frac{Δ T}{T}$ $3 \frac{Δ r}{r}$
$\frac{Δ T}{T} = \frac{3}{2} \frac{Δ r}{r}$

Q. A satellite is revolving round the Earth in an orbit of radius r with time period T. If the satellite is revolving round the earth in an orbit of radius r + Δr (Δr << r) with time period T + ΔT(ΔT << T) then TΔT​ is

23​rΔr​

32​rΔr​

rΔr​

r2Δr​