Question

Which of the following statements is correct?
(1) The orbital time period of satellite moving around
a planet is independent of its mass
(2) A planet's orbital speed always remains constant
while moving around the sun
(3) The gravitational force is always repulsive in
nature
(4) The gravitational force depends upon the medium
in between the two objects​

Answer 1

Answer:

the gravitationla force is always repulsive in nature

Answer 2

‘The orbital time period of satellite moving around planet is independent of its mass’ is a correct statement.

Option: (1)

Explanation:  

• Let's us consider a ‘satellite of mass’ m is moving around the earth. Let's us consider the ‘Mass of the earth’ to be M and the ‘mass of the satellite’ is m.  

• The force of attraction due to gravity is $\bold{\frac{G M m}{r^{2}}}$. Here G is the universal gravitation constant. Now if we consider the centripetal force it is equal to $\bold{\frac{m v^{2}}{r}}$.  

• Now these two forces are equal and opposite. Hence if we put them together the $\bold{\frac{G M}{r}=v^{2}}$. Now velocity is the $\bold{\frac{2 \pi R}{t}}$ and if we equate it. Then the time is not dependent on the ‘mass of the satellite’.

Learn more about orbital time period

The orbital time period of satellite moving around a planet is independent of its mass. Is it correct or incorrect? ​

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