Two bodies, each of mass , are kept fixed with a separation . A particle of mass is…

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

Problem

Two bodies, each of mass

M

, are kept fixed with a separation

2L

. A particle of mass

m

is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is

G

. The correct statement(s) is (are) (1) The minimum initial velocity of the mass

m

to escape the gravitational field of the two bodies is

4\sqrt{\frac{GM}{L}}

(2) The minimum initial velocity of the mass

m

to escape the gravitational field of the two bodies is

2\sqrt{\frac{GM}{L}}

(3) The minimum initial velocity of the mass

m

to escape the gravitational field of the two bodies is

\sqrt{\frac{2GM}{L}}

(4) The energy of the mass

m

remains constant