JEE Mains · Physics · STD 11 - Units,dimensions and measurement
- JEE Mains 2024
- Hard
- MCQ
Match List \(-I\) with List \(-II\).
| List \(-I\) | List \(-II\) | ||
| \(A\). | Coefficient of Viscosity | \(I\). | \([M L^2T^{–2}]\) |
| \(B\). | Surface Tension | \(II\). | \([M L^2T^{–1}]\) |
| \(C\). | Angular momentum | \(III\). | \([M L^{-1}T^{–1}]\) |
| \(D\). | Rotational Kimeatic energy | \(IV\). | \([M L^0T^{–2}]\) |
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \( A-III, B-IV, C-II, D-I\)
Step-by-step Solution
Detailed explanation
\( F=\eta A \frac{d v}{d y} \)
\( {\left[M L T^{-2}\right]=\eta\left[L^2\right]\left[T^{-1}\right]} \)
\( \eta=\left[M L^{-1} T^{-1}\right] \)
\( S . T=\frac{F}{\ell}=\frac{\left[M L T^{-2}\right]}{[L]}=\left[M L^0 T^{-2}\right] \)
\( L=m v r=\left[M L^2 T^{-1}\right] \)
\( K . E=\frac{1}{2} I \omega^2=\left[M L^2 T^{-2}\right]\)
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