Student Login

Home›Chapters›Gravitation PYQs›Kepler's Laws & Planetary Motion›Question 20

JEE Main 2020 (6 Sep, Shift 1) · Kepler's Laws & Planetary Motion

Kepler's Laws & Planetary Motion question from JEE Main 2020 (6 Sep, Shift 1)

Q20JEE Main 2020 · 6 SEP · SHIFT 1Medium

Kepler's Laws & Planetary Motion

A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is:

Show answer and solution

Answer: (c)

Angular momentum is conserved: $v_c r_c = v_f r_f$ .
$\frac{r_c}{r_f} = \frac{v_f}{v_c} = \frac{1}{6}$
So the answer is (c) $1:6$ .

Report a mistake

More questions on Kepler's Laws & Planetary Motion

The radius of the earth and the radius of orbit around the sun are 6371 km and 149 × 10⁶…MHT CET 2019 (2 May, Shift 1)
The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B…NEET 2018
Figure shows elliptical path abcd of a planet around the sun S such that the area of…JEE Main 2016 (9 Apr, Shift 1)
Kepler's third law states that square of period of revoluation (T) of a planet around the…NEET 2015 (AIPMT, Cancelled Paper)
A satellite S is moving in an elliptical orbit around the earth. The mass of the…NEET 2015 (AIPMT)
India's Mangalyan was sent to the Mars by launching it into a transfer orbit EOM around…JEE Main 2014 (9 Apr, Shift 1)
A planet moving along an elliptical orbit is closest to the sun at a distance r1 and…NEET 2011 (AIPMT, Prelims)
The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is…NEET 2009 (AIPMT)