Match the physical quantities given in Column I with dimensions expressed in terms of mass ( M ) , length ( L ) , time ( T ) , and charge ( Q ) given in Column II. (JEE 1993) Match the following List-

Question

Match the physical quantities given in Column I with dimensions expressed in terms of mass $(M)$ , length $(L)$ , time $(T)$ , and charge $(Q)$ given in Column II. (JEE 1993)

Match the following List-I with List-II:

List - I	List - II
(I) Angular momentum	(P) $[M L^{2} T^{- 2}]$
(II) Latent heat	(Q) $[M L^{2} Q^{- 2}]$
(III) Torque	(R) $[M L^{2} T^{- 1}]$
(IV) Capacitance	(S) $[M L^{3} T^{- 1} Q^{- 2}]$
(V) Inductance	(T) $[M^{- 1} L^{- 2} T^{2} Q^{2}]$
(VI) Resistivity	(U) $[L^{2} T^{- 2}]$

TestHub · Accepted Answer

Angular momentum L = I ω → [ M L 2 T − 1 ] (r); latent heat = m Q ​ → [ L 2 T − 2 ] (u); torque τ = F × r → [ M L 2 T − 2 ] (p); capacitance C = 2 U q 2 ​ → [ M − 1 L − 2 T 2 Q 2 ] (t); inductance L = i 2 2 U ​ → [ M L 2 Q − 2 ] (q); resistivity ρ = l R A ​ → [ M L 3 T − 1 Q − 2 ] (s).

Physics - Unit & Dimension Question with Solution | TestHub

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