Match the Column I with Column II.
Column I
(Physical quantity) Column II
(Dimensional formula)
(A) Premittivity of free space (p) $[M^{0} L^{0} T^{- 1}]$
(B) Radiant flux (q) $[M L^{3} T^{- 3} A^{- 2}]$
(C) Resistivity (r) $[M L^{2} T^{- 3}]$
(D) Hubble constant (s) $[M^{- 1} L^{- 3} T^{4} A^{2}]$

A - p, B - q, C - r, D - s

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A - q, B - p, C - s, D - r

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A - s, B - r, C - q, D - p

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A - r, B - s, C - q, D - p

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Solution

The correct option is B A - s, B - r, C - q, D - p
Permittivity of free space
$= \frac{C h a r g e \times c h a r g e}{4 π \times e l e c t r i c a l f o r c e \times d i s t a n c e^{2}}$
$[ε_{0}] = \frac{[A T] [A T]}{[M L T^{- 2}] [L]^{2}} = [M^{- 1} L^{- 3} T^{4} A^{2}]$
A - s
Radiant flux = $\frac{E n e r g y e m i t t e d}{T i m e} = \frac{[M L^{2} T^{- 2}]}{[T]} = [M L^{2} T^{- 3}]$
B - r
Resistivity = $R e s i s t a n c e \times A r e a L e n g t h L e n g t h$
$[ρ] = \frac{[M L^{2} T^{- 3} A^{- 2} [L^{2}]}{[L]} = [M L^{3} T^{- 3} A^{- 2}]$
C - q
Hubble constant = $\frac{R e c e s s i o n s p e e d}{D i s t a n c e} = \frac{[L T^{- 1}]}{[L]} = [M^{0} L^{0} T^{- 1}]$
D - p

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	Column I (Physical quantity)		Column II (Dimensional formula)
(A)	Premittivity of free space	(p)	$[M^{0} L^{0} T^{- 1}]$
(B)	Radiant flux	(q)	$[M L^{3} T^{- 3} A^{- 2}]$
(C)	Resistivity	(r)	$[M L^{2} T^{- 3}]$
(D)	Hubble constant	(s)	$[M^{- 1} L^{- 3} T^{4} A^{2}]$

Match the Column I with Column II.Column I(Physical quantity)Column II(Dimensional formula)(A)Premittivity of free space(p)[M0L0T−1](B)Radiant flux(q)[ML3T−3A−2](C)Resistivity(r)[ML2T−3](D)Hubble constant(s)[M−1L−3T4A2]

Match the Column I with Column II.
Column I
(Physical quantity) Column II
(Dimensional formula)
(A) Premittivity of free space (p) $[M^{0} L^{0} T^{- 1}]$
(B) Radiant flux (q) $[M L^{3} T^{- 3} A^{- 2}]$
(C) Resistivity (r) $[M L^{2} T^{- 3}]$
(D) Hubble constant (s) $[M^{- 1} L^{- 3} T^{4} A^{2}]$