Question

The equation $\left( P + \frac{a}{V^{2}} \right)(V - b)$ = constant. The units of a is

• A. $Dyne \times cm^{5}$
• B. $Dyne \times cm^{4}$
• C. $Dyne/cm^{3}$
• D. $Dyne/cm^{2}$

Answer 1

Answer: (B)

$Dyne \times cm^{4}$

Answer 2

According to the principle of dimensional homogenity $\lbrack P\rbrack = \left\lbrack \frac{a}{V^{2}} \right\rbrack$

⇒ $\lbrack a\rbrack = \lbrack P\rbrack\lbrack V^{2}\rbrack = \lbrack ML^{- 1}T^{- 2}\rbrack\lbrack L^{6}\rbrack = \lbrack ML^{5}T^{- 2}\rbrack$

or unit of a = $gm$ × $cm^{5}$ × sec^–2= Dyne × cm⁴