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Q.

Two spheres of mass $m$ and $M$ are situated in the air, and the gravitational force between them is $F$ . The space around the mass is now filled with a liquid whose relative density is $3$ . The gravitational force will now be

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a

\frac{F}{3}

b

\frac{F}{9}

c

3 F

d

F

answer is D.

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Detailed Solution

The gravitational force will now be

F

.
Because gravity's force is independent of medium density, it will remain constant. The gravitational force will be the same as F because gravitational force is dependent on the masses of the bodies and the distance between them and not on the medium between the masses. The universal law of gravity states, “Every particle attracts every other particle in the universe with a force that is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.” Mathematically,

F = \frac{G m_{1} m_{2}}{r^{2}}

where

G

is the universal gravitation constant,

m_{1}

is the mass of the first object,

m_{2}

is the mass of second object and

r

is the distance between them.

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