Question 94: Units , Dimensions and Error Analysis

Question

Match List I with List II.

List I

List II

(A)
Coefficient of viscosity
(I)
$$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2}\right]$$

(B)
Surface tension
(II)
$$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-1}\right]$$

(C)
Angular momentum
(III)
$$\left[\mathrm{M} \mathrm{L}^{-1} \mathrm{~T}^{-1}\right]$$

(D)
Rotational kinetic energy
(IV)
$$\left[\mathrm{M} \mathrm{L}^0 \mathrm{~T}^{-2}\right]$$

Choose the correct answer from the options given below :

Accepted Answer

$$\begin{aligned}
& F=\eta A \frac{d v}{d y} \
& {\left[M L T^{-2}ight]=\eta\left[L^2ight]\left[T^{-1}ight]} \
& \eta=\left[M L^{-1} T^{-1}ight] \
& S . T=\frac{F}{\ell}=\frac{\left[M L T^{-2}ight]}{[L]}=\left[M L^0 T^{-2}ight] \
& L=m v r=\left[M L^2 T^{-1}ight] \
& K . E=\frac{1}{2} I \omega^2=\left[M L^2 T^{-2}ight]
\end{aligned}$$

Answer

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

Answer

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

Answer

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

Answer

(A)-(III), (B)-(IV), (C)-(II), (D)-(I)

Units , Dimensions and Error Analysis

Choose the correct answer: