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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 \(IV\). \([M L^0T^{–2}]\)

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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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