ExamBro
ExamBro
AP EAMCET · PHYSICS · Units and Dimensions

Names of units of some physical quantities are given in List-I and their dimensions formulae are given in List-Il. Match the correct pairs in the lists
\(\begin{array}{ll|ll}
\hline & \text{ List-I } & \text{ List-II } \\
\hline A. & \mathrm{Pa}-\mathrm{s} & (i) & {\left[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]} \\
\hline B. & \mathrm{NmK}^{-1} & (ii) & {\left[\mathrm{MLT}^{-3} \mathrm{~K}^{-1}\right]} \\
\hline C. & \mathrm{J} \mathrm{kg}^{-1} \mathrm{~K}^{-1} & (iii) & {\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]} \\
\hline D. & \mathrm{Wm}^{-1} \mathrm{~K}^{-1} & (iv) & {\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]} \\
\hline
\end{array}\)
\(\begin{array}{llll}A & B & C & D\end{array}\)

  1. A (iv) (iii) (i) (ii)
  2. B (iii) (ii) (iv) (i)
  3. C (iii) (i) (iv) (ii)
  4. D (iii) (iv) (i) (ii)
Verified Solution

Answer & Solution

Correct Answer

(D) (iii) (iv) (i) (ii)

Step-by-step Solution

Detailed explanation

Dimensions of Pa-s is \(\begin{aligned} & =\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right] \cdot[\mathrm{T}] \\ & =\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right] \end{aligned}\) Dimensions of \(\mathrm{NmK}^{-1}\) is…