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)
$[M^{1} L^{2} T^{- 2}]$
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Question

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)	$[M^{1} L^{2} T^{- 2}]$

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TestHub · Accepted Answer

​ [ τ ] = [ r × F ] = [ ML 2 T − 2 ] [ F ] = [ qVB ] ⇒ B = ( qV F ​ ) = [ ATLT − 1 MLT − 2 ​ ] = [ MA − 1 T − 2 ] [ M ] = [ I × A ] = [ AL 2 ] B = 4 π μ 0 ​ ​ r 2 Idl sin θ ​ ⇒ [ μ ] = [ Idl Br 2 ​ ] = [ AL MT − 2 A − 1 × L 2 ​ ] = [ MLT − 2 A − 2 ] ​

Physics - Unit & Dimension Question with Solution | TestHub

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