Kepler's Laws

Q. A and B are two satellites revolving around the Earth in a circular orbit of radius R and 9R, respectively. If the time period of satellite A is 1 hour, then what will be the time period of satellite B?

1. 3 hours
2. 9 hours
3. 18 hours
4. 27 hours

Q. Aryan and Kevin are two friends. The mass of Aryan is 40 kg and the mass of Kevin is 50 kg. If they are 50 cm away from each other, then find the gravitational force (in N) acting between them. (G is the universal gravitational constant)

1. $2000GN$
2. $6000GN$
3. $8000GN$
4. $10000GN$

Q. An exoplanet having equal mass and radius one-third of the Earth is discovered by the scientists. Calculate the value of acceleration due to gravity on that exoplanet, if its value on Earth is 'g'.

1. 3g
2. 9g
3. $\frac{g}{3}$
4. $\frac{g}{9}$

Q. Two balls, A and B of masses 0.4 kg and 1.2 kg respectively, are placed at a distance of 12 cm from each other. Another ball of mass 0.1 kg is placed in between them such that there is no net force acting on it. Find the distance of the third ball from ball A.

1. $-6-6\sqrt{3}\text{cm}$
2. $-6+6\sqrt{3}\text{cm}$
3. $12-6\sqrt{3}\text{cm}$
4. $-12+6\sqrt{3}\text{cm}$