Test-7 (Gravitation) Gravitation Physics NEET Practice Questions, MCQs, Past Year Questions (PYQs), NCERT Questions, Question Bank, Class 11 and Class 12 Questions, and PDF solved with answers

Statement I:	The gravitational force acting on a particle depends on the electric charge of the particle.
Statement II:	The gravitational force on an extended body can be calculated by assuming the body to be a particle 'concentrated' at its centre of mass and applying Newton's law of gravitation.

1.	Statement I is incorrect and Statement II is correct.
2.	Both Statement I and Statement II are correct.
3.	Both Statement I and Statement II are incorrect.
4.	Statement I is correct and Statement II is incorrect.

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Subtopic: Newton's Law of Gravitation |

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Q2:

A satellite is in a circular orbit around a planet, orbiting with a speed of \(2\) km/s. What is the minimum additional velocity that should be given to it, perpendicular to its motion, so that it escapes?

1.	\(2\) km/s	2.	\(2\sqrt2\) km/s
3.	\(2(\sqrt2-1)\) km/s	4.	\(2(\sqrt2+1)\) km/s

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Subtopic: Escape velocity |

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Q3:

A block of mass \(m\) is slowly taken vertically upward over a large distance \(h\) in the earth's gravitational field, starting from its surface. The gravitational field at its final destination is \({\Large\frac{g}{27}},\) where \(g\) is the field at the earth's surface. The work done in the process is:
1. \(mgh\)
2. \(\Large\frac{mgh}{27}\)
3. \(\Large\frac{mgh}{\sqrt{27}}\)
4. \(\Large\frac{14mgh}{27}\)

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Subtopic: Gravitational Potential Energy |

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Q4:

Two particles of masses \(M,m\) are separated by a distance \(r.\) Their relative acceleration due to their mutual gravitational forces is (of magnitude):

1.	\(\Large\frac{2GMm}{r^2(M+m)}\)	2.	\(\Large\frac{GMm}{r^2(M+m)}\)
3.	\(\Large\frac{G(M\text - m)}{r^2}\)	4.	\(\Large\frac{G(M\text + m)}{r^2}\)

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Subtopic: Acceleration due to Gravity |

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Q5:

A uniform solid sphere of mass \(M\) and radius \(R\) has a thin uniform ring of mass \(\dfrac{5M}{3}\) and radius \(\dfrac{4R}{3}\) around it. The two objects have a common centre \(O,\) and the axis of the ring \((PP')\) lies along a diameter of the sphere. Physical quantities associated with this system are mentioned in Column-I and their values in Column-II, but in a different order. Match them. Gravitational field is measured in units of \((GM/R^2),\) potential in units of \(\left(-\dfrac{GM}{R}\right)\) while potential energy is in units of \((-GM^2/R)\)

Column-I		Column-II
\(\mathrm{(A)}\)	Gravitational potential energy (PE) of interaction between the sphere and the ring.	\(\mathrm{(I)}\)	\(1.25\)
\(\mathrm{(B)}\)	Gravitational potential at the common centre \((O)\)	\(\mathrm{(II)}\)	\(1.36\)
\(\mathrm{(C)}\)	Gravitational potential at \(P,\) a pole of the sphere.	\(\mathrm{(III)}\)	\(2\)
\(\mathrm{(D)}\)	Gravitational field at \(P,\) a pole of the sphere.	\(\mathrm{(IV)}\)	\(2.75\)

1.	\(\mathrm{A\text-I,B\text-IV,C\text-III,D\text-II}\)
2.	\(\mathrm{A\text-II,B\text-III,C\text-I,D\text-IV}\)
3.	\(\mathrm{A\text-III,B\text-II,C\text-IV,D\text-I}\)
4.	\(\mathrm{A\text-I,B\text-IV,C\text-II,D\text-III}\)

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Subtopic: Gravitational Potential |

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Q6:

Three stars of identical masses \(m\) move around a central star of mass \(M\) in an orbit of radius \(r.\) The net gravitational force acting on any one of the orbiting stars equals:

1.	\(\dfrac{GMm}{r^2}+\dfrac{2Gm^2}{r^2}\)
2.	\(\dfrac{GMm}{r^2}+\dfrac{\sqrt3Gm^2}{r^2}\)
3.	\(\dfrac{GMm}{r^2}+\dfrac{Gm^2}{\sqrt3r^2}\)
4.	\(\dfrac{GMm}{r^2}+\dfrac{2Gm^2}{\sqrt3r^2}\)

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Subtopic: Newton's Law of Gravitation |

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Q7:

If a particle is projected vertically upward with a speed \(u,\) and rises to a maximum altitude \(h\) above the earth's surface then:
(\(g=\) acceleration due to gravity at the surface)

1.	\(h>\dfrac{u^2}{2g}\)
2.	\(h=\dfrac{u^2}{2g}\)
3.	\(h<\dfrac{u^2}{2g}\)
4.	Any of the above may be true, depending on the earth's radius

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Subtopic: Acceleration due to Gravity |

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Q8:

The angular momentum of a planet of mass \(m,\) moving around the sun (mass: \(M\gg m\)) in an orbit of radius \(r\) is proportional to:

1.	\(mr\)	2.	\(\dfrac{m}{r}\)
3.	\(m\sqrt r\)	4.	\(\dfrac{m}{\sqrt r}\)

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Subtopic: Kepler's Laws |

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Q9:

The gravitational potential energy of a particle of mass \(m\) increases by \(mgh,\) when it is raised through a height \(h\) in a uniform gravitational field "\(g\)". If a particle of mass \(m\) is raised through a height \(h\) in the earth's gravitational field (\(g\): the field on the earth's surface) and the increase in gravitational potential energy is \(U\), then:

1.	\(U > mgh\)
2.	\(U < mgh\)
3.	\(U = mgh\)
4.	any of the above may be true depending on the value of \(h,\) considered relative to the radius of the earth.

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Subtopic: Gravitational Potential Energy |

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Q10:

Two particles of masses \(m_1,~m_2\)are placed on the axis of a uniform circular ring of mass \(M\) and radius \(R,\) on opposite sides of the centre of the ring. The distances of \(m_1,~m_2\)from the centre of the ring are \(x_1,~x_2\) respectively, and \(x_1~ x_2 \ll R.\) The net force on the ring vanishes. Then,

1.	\(\dfrac{m_{1}}{x_{1}}=\dfrac{m_{2}}{x_{2}} \)	2.	\(\dfrac{m_{1}}{x_{1}^{2}}=\dfrac{m_{2}}{x_{2}^{2}} \)
3.	\(\dfrac{m_{1}}{x_{1}^{3}}=\dfrac{m_{2}}{x_{2}^{3}} \)	4.	\(m_{1} x_{1}=m_{2} x_{2} \)