Question

Match the Column I with Column II

	Column I Physical quantity		Column II Dimensional Formula
(A)	Permittivity 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]

• A. A – p, B – q, C – r, D – s
• B. A – q, B – p, C – s, D – r
• C. A – s, B – r, C – q, D – p
• D. A – r, B – s, C – p, D – q

Answer 1

Answer: (C)

A – s, B – r, C – q, D – p

Answer 2

Permittivity of free space

$= \frac{Ch\arg e \times ch\arg e}{4\pi \times electricalforce \times dis\tan ce^{2}}$A – s

Radiant flux

$= \frac{Energyemitted}{Time} = \frac{\lbrack ML^{2}T^{- 2}\rbrack}{\lbrack T\rbrack} = \lbrack ML^{2}T^{- 3}\rbrack$ B – r

Resistivity $= \frac{{Re}sis\tan ce \times Area}{Length}$

$\lbrack\rho\rbrack = \frac{\lbrack ML^{2}T^{- 3}A^{- 2}\rbrack\lbrack L^{2}\rbrack}{\lbrack L\rbrack} = \lbrack ML^{3}T -^{3}A^{- 2}\rbrack$ C – q

Hubble constant $= \frac{{Re}cessionspeed}{Dis\tan ce}$

$= \frac{\lbrack LT^{- 1}\rbrack}{\lbrack L\rbrack} = \lbrack M^{0}L^{0}T^{- 1}\rbrack$ D – p