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10. Gravitation question bank (Physics)

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Q1.

A very long (length \(L\)) cylindrical galaxy is made of uniformly distributed mass and has radius \(R (R \ll L)\). A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is \(T\) and its distance from the galaxy's axis is \(r\), then

(A)

\(T^2 \propto r^3\)

(B)

\(T \propto r^2\)

(C)

\(T \propto r\)

(D)

\(T \propto \sqrt{r}\)

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Q2.

Two particles of masses \(m_1\) and \(m_2\), approach each other due to their mutual gravitational attraction only. Then

(A)

accelerations of both the particles are equal

(B)

acceleration of the particle of mass \(m_1\) is proportional to \(m_1\)

(C)

acceleration of the particle of mass \(m_1\) is proportional to \(m_2\)

(D)

acceleration of the particle of mass \(m_1\) is inversely proportional to \(m_1\)

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