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. Column I Column II i. Angular momentum p. [ML2T-2] ii. Latent heat q. [ML2Q-2] iii. Torque r. [ML2T-1] iv. Capacitance s. [ML3T-1Q-2] v. Inductance t. [M-1L-2T2Q2] vi. Resistivity u. [L2T-2]

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. Column I Column II i. Angular momentum p. [ML2T-2] ii. Latent heat q. [ML2Q-2] iii. Torque r. [ML2T-1] iv. Capacitance s. [ML3T-1Q-2] v. Inductance t. [M-1L-2T2Q2] vi. Resistivity u. [L2T-2] (A) i—p, ii—q, iii—s, iv—t, v—u, vi—r (B) i—r, ii—u, iii—p, iv—t, v—q, vi—s (C) i—s, ii—t, iii—u, iv—p, v—q, vi—r (D) i—u, ii—r, iii—p, iv—q, v—s, vi—t

Tardigrade Admin · Accepted Answer

The correct table as under

Angular momentum	$[M L^{2} T^{- 1}]$
Latent heat	$[L^{2} T^{- 2}]$
Torque	$[M L^{2} T^{- 2}]$
Capacitance	$[M^{- 1} L^{- 2} T^{2} Q^{2}]$
Inductance	$[M L^{2} Q^{- 2}]$
Resistivity	$[M L^{3} T^{- 1} Q^{- 2}]$

Hence,

(i) \to (r), (ii) \to (u), (iii) \to (p), (i v) \to (t), (v) \to (q), (v i) \to (s)

$i — p, ii — q, iii — s, i v — t, v — u, v i — r$

$i — r, ii — u, iii — p, i v — t, v — q, v i — s$

$i — s, ii — t, iii — u, i v — p, v — q, v i — r$

$i — u, ii — r, iii — p, i v — q, v — s, v i — t$

i—p,ii—q,iii—s,iv—t,v—u,vi—r

i—r,ii—u,iii—p,iv—t,v—q,vi—s

i—s,ii—t,iii—u,iv—p,v—q,vi—r

i—u,ii—r,iii—p,iv—q,v—s,vi—t

The correct table as under Angular momentum [ML2T−1] Latent heat [L2T−2] Torque [ML2T−2] Capacitance [M−1L−2T2Q2] Inductance [ML2Q−2] Resistivity [ML3T−1Q−2] Hence, (i)→(r),(ii)→(u),(iii)→(p),(iv)→(t),(v)→(q),(vi)→(s)

$i — p, ii — q, iii — s, i v — t, v — u, v i — r$

$i — r, ii — u, iii — p, i v — t, v — q, v i — s$

$i — s, ii — t, iii — u, i v — p, v — q, v i — r$

$i — u, ii — r, iii — p, i v — q, v — s, v i — t$