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1. The gravitational force between two point masses \(m_1\) and \(m_2\) at separation \(r\) is given by \(F = k \frac{m_1m_2}{r^2}\)$\frac{{\mathrm{}}^{}}{}$. The constant \(k\):

1.	depends on the system of units only.
2.	depends on the medium between masses only.
3.	depends on both (a) and (b).
4.	is independent of both (a) and (b).

2. The orbital angular momentum of a satellite revolving at a distance \(r\) from the centre is \(L\). If the distance is increased to \(16r\), then the new angular momentum will be:

1.	\(16L\)	2.	\(64L\)
3.	\(L \over 4\)	4.	\(4L\)

3. The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity:

1.	will be directed towards the centre but not the same everywhere.
2.	will have the same value everywhere but not directed towards the centre.
3.	will be the same everywhere in magnitude directed towards the centre.
4.	cannot be zero at any point.

4. The escape velocities from the surface of two planets of the same mass are in the ratio of \({1}:{\sqrt{2}}\). The ratio of their densities is:

1.	\(1:2\)	2.	\(1:4\)
3.	\(1:8\)	4.	\(1:16\)

5.

A satellite is revolving around the earth with speed \(v_0\). If it is stopped suddenly, then with what velocity will the satellite hit the ground? (\(v_e\)= escape velocity from the earth's surface)
1. \(\sqrt{v_{e}^{2} - v_{0}^{2}}\)
2. \(\sqrt{v_{e}^{2}-2 v_{0}^{2}}\)
3. \(\sqrt{v_{e}^{2}-3 v_{0}^{2}}\)
4. \(\sqrt{v_{e}^{2}-\frac{v_{0}^{2}}{2}}\)