The dimensions of angular momentum, latent heat and capacitance are, respectively. (a) ML²T¹A², L²T⁻², M⁻¹L⁻²T² (b) ML²T⁻², L²T², M⁻¹L⁻²T⁴A² (c) ML²T⁻¹, L²T⁻², ML²TA² (d) ML²T⁻¹, L²T⁻², M⁻¹L⁻²T⁴A²

Answer: (d). Angular momentum mvr: ML²T⁻¹. Latent heat Q/m: L²T⁻². Capacitance q/V = q²/W: A²T²/ML²T⁻² = M⁻¹L⁻²T⁴A². So the answer is (d).

The dimensions of angular momentum, latent heat and capacitance are… | JEE Main 2013 (22 Apr, Shift 1)

Q85JEE Main 2013 · 22 APR · SHIFT 1Easy

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

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Answer: (d)

Angular momentum $mvr$ : $\mathrm{ML^2T^{-1}}$ .
Latent heat $Q/m$ : $\mathrm{L^2T^{-2}}$ .
Capacitance $q/V = q^2/W$ : $\mathrm{A^2T^2}/\mathrm{ML^2T^{-2}} = \mathrm{M^{-1}L^{-2}T^4A^2}$ .
So the answer is (d).