JEE PHYSICS MCQ: GRAVITATION

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A planet is revolving round the sun. Its distance from the sun at Apogee is

r_A

and that at Perigee is

r_{{r}}

. The mass of planet and sun is

m

and

M

respectively,

v_A

and

V_P

is the velocity of planet at Apogee and Perigee respectivley and

{T}

is the time period of revolution of planet round the sun.
(a)

T^2=\frac{\pi^2}{2 G m}\left(r_A+r_p\right)^2

(b)

T^2=\frac{\pi^2}{2 G M}\left(r_A+r_p\right)^3

(c)

v_A r_A=v_p r_p

(d)

v_A < v_p, r_A > r_p

View answer and explanation

Correct option: C

b, c, d

Option C (b, c, d) is correct. Kepler's laws and conservation of angular momentum dictate the relationships between time period, distances, and velocities at apogee and perigee.

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11.2\mathrm{\;\;km}{\mathrm{s}^{ - 1}}

. If the body is projected in a direction making an angle of

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