GATE XE 2023 | Question: 65

Question

\begin{tabular}{|c|c|}
\hline Q. 75 & \begin{tabular}{l}
A solid uniform rigid disk of mass $m$ and radius $R$ rolls without slipping along a \\
horizontal surface $\mathrm{PQ}$. The speed of the center of the disk is $v$. The disk then \\
strikes a hurdle of height $\frac{3 R}{20}$ at point $\mathrm{S}$. During the impact, there is no rebound or \\
slip at $\mathrm{S}$ and no impulse from the surface $\mathrm{PQ}$. The magnitude of the velocity of the \\
center of the disk immediately after the impact is
\end{tabular} \\
\hline & $\underbrace{R}$ \\
\hline

• A. & $0.1 v$ \\
  \hline
• B. & $0.3 v$ \\
  \hline
• C. & $0.7 v$ \\
  \hline
• D. & $0.9 v$ \\
  \hline
  \end{tabular}