Question

The dimensional formula of coefficient of viscosity can be expressed as $ M^a\, L^bT^c $ . What are the values of $ a $ , $ b $ and $ c $ .

• A. $ a = b = c = 1 $
• B. $ a = b = 1 $ , $ c = -1 $
• C. $ a = 1 $ , $ b = c = -1 $
• D. $ a = c = - 1 $ , $ b = 1 $

Answer 1

Answer: (C)

$F=6\pi\eta rv$
$\eta=\frac{F}{6\pi rv}$
$=\frac{MLT^{-2}}{L\times LT^{-1}}$
$=ML^{-1}T^{-1}$