What is the dimension of the physical quantity α in the equation, P =( text density /α), where P is the pressure?

Question

What is the dimension of the physical quantity α in the equation, P =( text density /α), where P is the pressure? (A) ML 2 T -1 (B) ML 4 T -2 (C) L-3 T2 (D) L-2 T2

Tardigrade Admin · Accepted Answer

P=(s/α) ⇒ α=(s/p) =(M L-3/M L T-2) L2=L-2 T -2]

Q. What is the dimension of the physical quantity $α$ in the equation, $P = \frac{density}{α}$ , where $P$ is the pressure?

$M L^{2} T^{- 1}$

$M L^{4} T^{- 2}$

$L^{- 3} T^{2}$

$L^{- 2} T^{2}$

$P = \frac{s}{α}$
$\Rightarrow α = \frac{s}{p}$
$= \frac{M L ^{- 3}}{M L T ^{- 2}} L^{2} = L^{- 2} T^{- 2}]$

Q. What is the dimension of the physical quantity α in the equation, P=α density ​, where P is the pressure?

ML2T−1

ML4T−2

L−3T2

L−2T2