# A satelete is in an all optical orbit around planet P. It is observed that the velocity of the satelite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances b/w the satelite and the planet at closest and farthest point is :-   Option: 1 Option: 2 Option: 3   Option: 4

As the angular momentum remains conserved. So,

$L_{Nearest} = L_{Farthest}$

$m \times v_n \times r_n = m \times v_f \times r_f$

Also,

$V_{f}=\frac{V_{n}}{6}$

As,

$V_{n} \times r_{n}={V}_{f} \times{r}_{f}$

$V_{n} \times r_{n}=\frac{V_n}{6} \times{r}_{f}$

So,

$\frac{r_n}{r_f} = \frac{1}{6}$

## Similar Questions

### Preparation Products

##### Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
##### Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
##### Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
##### Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 14999/-