A uniform rigid body of mass \( m \) and radius \( R \) is placed at rest on a rough horizontal ...
0A uniform rigid body of mass \( m \) and radius \( R \) is placed at rest on a rough horizontal surface. A constant horizontal force \( F \) is applied at the topmost point of the body. The body starts rolling without slipping. Different shapes of bodies are given in the column I and based on this problem some physical quantities related to them are given in column II.
\begin{tabular}{|ll|ll}
\hline & Column I & \multicolumn{2}{c}{ Column II } \\
\hline i. & Solid sphere & a. & Friction force is zero \\
\hline ii. & Ring & b. Magnitude of friction force is maximum \\
\hline iii. & Hollow sphere & c. Acceleration of the centre of mass is \( 4 F / 3 m \) \\
\hline iv. & Disc & d. Magnitude of friction force is \( F / 5 \) \\
\hline
\end{tabular}
(1) i - b, ii - a, iii - c, iv \( -\mathrm{c} \)
(2) i - b, ii - a, iii - d, iv - c
(3) i - d, ii - b, iii - a, iv - c
(4) i-c, ii - a, iii - d, iv - b
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