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