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1. units,dimensions and measurement — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics1. units,dimensions and measurement1 Mark
MCQ
The dimensions of angular momentum , latent heat and capacitance are, respectively.
  • A
    $ML^2T^1A^2 ,\, L^2T^{-2},\, M^{-1}L^{-2}T^2$
  • B
    $ML^2T^{-2} ,\, L^2T^2,\, M^{-1}L^{-2}T^4A^2$
  • C
    $ML^2T^{-1} ,\, L^2T^{-2},\, ML^2TA^2$
  • ✓
    $ML^2T^{-1} ,\, L^2T^{-2},\, M^{-1}L^{-2}T^4A^2$
✓

Answer

Correct option: D.
$ML^2T^{-1} ,\, L^2T^{-2},\, M^{-1}L^{-2}T^4A^2$
d
$\begin{array}{l}
Angular\,momentum\, = m \times v\, \times r\\
 = M{L^2}{T^{ - 1}}\\
Latent\,heat\,L = \frac{Q}{m} = \frac{{M{L^2}{T^{ - 2}}}}{M} = {L^2}{T^{ - 2}}\\
{\rm{Capacitance}}\,C = \frac{{Ch\arg e}}{{p.d}} = {M^{ - 1}}{L^{ - 2}}{T^4}{A^2}
\end{array}$

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