Match List -I with List -II List-I List-II --- --- --- --- A. Coefficient of viscosity I. [ rm M rm L 2 rm \; rm T - 2 ] B. Surface Tension II. [ rm M rm L 2 rm \; rm T - 1 ] C. Angular momentum III. [ rm M rm L - 1 rm \; rm T - 1 ] D. Rotational kinetic energy IV. [ rm M rm L 0 rm \; rm T - 2 ]

Physics · Units, Dimensions & Error Analysis

JEE Main 2024 — 30 January, Shift 1 — Question 31

Match List -I with List -II

$F=\eta A \frac{d v}{d y}$

$\left[M L T^{-2}\right]=\eta\left[L^{2}\right]\left[T^{-1}\right]$

$\eta=\left[M L^{-1} T^{-1}\right]$

S.T $=\frac{F}{\ell}=\frac{\left[M L T^{-2}\right]}{[L]}=\left[M L^{0} T^{-2}\right]$

$L=m v r=\left[M L^{2} T^{-1}\right]$

$K \cdot E=\frac{1}{2} I \omega^{2}=\left[M L^{2} T^{-2}\right]$

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