Match the physical quantities in List-I with | vedclass

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(A) $1$. Torque $(	au) = 	ext{Force} 	imes 	ext{distance} = [MLT^{-2}] 	imes [L] = [ML^2T^{-2}]$. Matches $(iv)$.$2$. Gravitational constant $(G)

Vedclass · Accepted Answer

$a-iv, b-iii, c-i, d-ii$

Vedclass · Answer

(A) $1$. Torque $(	au) = 	ext{Force} 	imes 	ext{distance} = [MLT^{-2}] 	imes [L] = [ML^2T^{-2}]$. Matches $(iv)$.$2$. Gravitational constant $(G)$: From $F = G \frac{m_1m_2}{r^2}$, $G = \frac{Fr^2}{m^2} = \frac{[MLT^{-2}][L^2]}{[M^2]} = [M^{-1}L^3T^{-2}]$. Matches $(iii)$.$3$. Capacitance $(C)$: From $Q = CV$, $C = \frac{Q}{V} = \frac{Q}{W/Q} = \frac{Q^2}{W} = \frac{[AT]^2}{[ML^2T^{-2}]} = [M^{-1}L^{-2}T^4A^2]$. Matches $(i)$.$4$. Planck's constant $(h)$: From $E = h
u$, $h = \frac{E}{
u} = \frac{[ML^2T^{-2}]}{[T^{-1}]} = [ML^2T^{-1}]$. Matches $(ii)$.Therefore, the correct matching is $a-iv, b-iii, c-i, d-ii$.

List-$I$	List-$II$
$(a)$ Torque	$(i)$ $[M^{-1}L^{-2}T^4A^2]$
$(b)$ Gravitational constant	(ii) $[M^1L^2T^{-1}]$
$(c)$ Capacitance	(iii) $[M^{-1}L^3T^{-2}]$
$(d)$ Planck's constant	(iv) $[M^1L^2T^{-2}]$

List $I$	List $II$
$A$. Torque	$I$. $[M^1 L^1 T^{-2} A^{-2}]$
$B$. Magnetic field	$II$. $[L^2 A^1]$
$C$. Magnetic moment	$III$. $[M^1 T^{-2} A^{-1}]$
$D$. Permeability of free space	$IV$. $[M^1 L^2 T^{-2}]$

Similar Questions

Choose the correct statement from the following.

Which of the following quantities has a unit but is dimensionless?

Match List $I$ with List $II$:

List $I$ List $II$

$A$. Torque $I$. $[M^1 L^1 T^{-2} A^{-2}]$

$B$. Magnetic field $II$. $[L^2 A^1]$

$C$. Magnetic moment $III$. $[M^1 T^{-2} A^{-1}]$

$D$. Permeability of free space $IV$. $[M^1 L^2 T^{-2}]$

Choose the correct answer from the options given below:

The quantities which have the same dimensions as those of solid angle are:

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