Match List-I with List-II.
$$\begin{array}{|l|l|l|l|}\hline & \text{List-I} & & \text{List-II} \\ \hline \text{A.} & \text{Coefficient of viscosity} & \text{I.} & [ML^0T^{-3}] \\ \hline \text{B.} & \text{Intensity of wave} & \text{II.} & [ML^{-2}T^{-2}] \\ \hline \text{C.} & \text{Pressure gradient} & \text{III.} & [M^{-1}LT^2] \\ \hline \text{D.} & \text{Compressibility} & \text{IV.} & [ML^{-1}T^{-1}] \\ \hline \end{array}$$
Choose the correct answer from the options given below:
Answer: (B) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
- (A) Viscosity: $\eta = \dfrac{F}{A\,(dv/dx)}$, so $[\eta] = \dfrac{MLT^{-2}}{L^2\cdot T^{-1}} = ML^{-1}T^{-1}$ → (IV)
- (B) Intensity = power per area: $\dfrac{ML^2T^{-3}}{L^2} = ML^0T^{-3}$ → (I)
- (C) Pressure gradient = pressure per length: $\dfrac{ML^{-1}T^{-2}}{L} = ML^{-2}T^{-2}$ → (II)
- (D) Compressibility = 1/bulk modulus: $M^{-1}LT^2$ → (III)
Solution by Sreeraj P, M.Sc Physics