Units & Dimensions

JEE Main level, single correct, medium

137 of 149

Question 137 of 149

The dimensions of angular momentum, latent heat and capacitance are, respectively.

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Answer: (D) ML2 T−1, L2 T−2,M−1 L−2 T4 A2\mathrm{ML}^2 \mathrm{~T}^{-1}, \mathrm{~L}^2 \mathrm{~T}^{-2}, \mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^4 \mathrm{~A}^2

Angular momentum =m×v×r=\mathrm{m} \times \mathrm{v} \times \mathrm{r}
=ML2 T−1=\mathrm{ML}^2 \mathrm{~T}^{-1}
Latent heat
L=Qm=ML2 T−2M=L2 T−2\mathrm{L}=\frac{\mathrm{Q}}{\mathrm{m}}=\frac{\mathrm{ML}^2 \mathrm{~T}^{-2}}{\mathrm{M}}=\mathrm{L}^2 \mathrm{~T}^{-2}
Capacitance
C= Charge  P.d. =M−1 L−2 T4 A2\mathrm{C}=\frac{\text { Charge }}{\text { P.d. }}=\mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^4 \mathrm{~A}^2

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