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Q. Match the physical quantities given in Column I with dimensions expressed in terms of mass $\left(M\right)$, length $\left(L\right),$ Time $\left(T\right)$, and charge $\left(Q\right)$ given in Column II.
Column I Column II
i. Angular momentum p. $\left[ML^{2}T^{-2}\right]$
ii. Latent heat q. $\left[ML^{2}Q^{-2}\right]$
iii. Torque r. $\left[ML^{2}T^{-1}\right]$
iv. Capacitance s. $\left[ML^{3}T^{-1}Q^{-2}\right]$
v. Inductance t. $\left[M^{-1}L^{-2}T^{2}Q^{2}\right]$
vi. Resistivity u. $\left[L^{2}T^{-2}\right]$

Physical World, Units and Measurements

Solution:

The correct table as under
Angular momentum $\left[ML^{2}T^{-1}\right]$
Latent heat $\left[L^{2}T^{-2}\right]$
Torque $\left[ML^{2}T^{-2}\right]$
Capacitance $\left[M^{-1}L^{-2}T^{2}Q^{2}\right]$
Inductance $\left[ML^{2}Q^{-2}\right]$
Resistivity $\left[ML^{3}T^{-1}Q^{-2}\right]$

Hence, $\left(i\right)\to\left(r\right),\left(ii\right)\to\left(u\right),\left(iii\right)\to\left(p\right),\left(iv\right)\to\left(t\right),\left(v\right)\to\left(q\right),\left(vi\right)\to\left(s\right)$