Match List-I with List-II. Choose the correct answer from the options given below: List-I List-II --- --- a. Mass density (I) [ M L 2 \!\! \!\! T -3 ] b. Impulse (ii) [ ML T -1 ] c. Power (III) [ M L 2 \!\! \!\! T 0 ] d. Moment of inertia (iv) [ M L -3 \!\! \!\! T 0 ]

Physics · Units, Dimensions & Error Analysis

JEE Main 2025 — 7 April, Evening Shift — Question 49

Match List-I with List-II. Choose the correct answer from the options given below:

List-I	List-II
a. Mass density	(I) $\left[ \text{M}{{\text{L}}^{2}}\text{ }\!\!~\!\!\text{ }{{\text{T}}^{-3}} \right]$
b. Impulse	(ii) $\left[ \text{ML}{{\text{T}}^{-1}} \right]$
c. Power	(III) $\left[ \text{M}{{\text{L}}^{2}}\text{ }\!\!~\!\!\text{ }{{\text{T}}^{0}} \right]$
d. Moment of inertia	(iv) $\left[ \text{M}{{\text{L}}^{-3}}\text{ }\!\!~\!\!\text{ }{{\text{T}}^{0}} \right]$

$\rho=\frac{\mathrm{kg}}{\mathrm{m}^{3}} \Rightarrow\left[\mathrm{ML}^{-3} \mathrm{~T}^{0}\right]$

I=F \cdot \Delta t \Rightarrow\left[\mathrm{M} \mathrm{LT}^{-1}\right]

\begin{gathered} P=\frac{w}{t} \Rightarrow\left[\mathrm{M} \mathrm{L}^{2} \mathrm{~T}^{-3}\right] \end{gathered}

\begin{gathered} I=\frac{M R^{2}}{n} \Rightarrow\left[\mathrm{ML}^{2} \mathrm{~T}^{0}\right] \end{gathered}

(i) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3}\right]$

(ii) $\left[\mathrm{MLT}^{-1}\right]$ \section*{List-II}

(iii) $\left[\mathrm{ML}^{2} \mathrm{~T}^{0}\right]$

(iv) $\left[\mathrm{ML}^{-3} \mathrm{~T}^{0}\right]$

Answer key and solution verified before publishing.

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