A planet of mass

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A planet of mass

M

, has two natural satellites with masses

m_1

and

m_2

. The radii of their circular orbits are

R_1

and

R_2

respectively. Ignore the gravitational force between the satellites. Define

v_1

L_1

K_1

and

T_1

to be, respectively, the orbital speed, angular momentum, kinetic energy and time period of revolution of satellite 1; and

v_2

L_2

K_2

, and

T_2

to be the corresponding quantities of satellite 2. Given

m_1/m_2 = 2

and

R_1/R_2 = 1/4

, match the ratios in List-I to the numbers in List-II. [Adv. 2018] LIST-I LIST-II

(1) P

\to

4; Q

\to

2; R

\to

1; S

\to

3 (2) P

\to

3; Q

\to

2; R

\to

4; S

\to

1 (3) P

\to

2; Q

\to

3; R

\to

1; S

\to

4 (4) P

\to

2; Q

\to

3; R

\to

4; S

\to