The dimensional formula of coefficient of viscosity can be expressed as Ma LbTc . What are the values of a , b and c .

Question

The dimensional formula of coefficient of viscosity can be expressed as Ma LbTc . 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

Tardigrade Admin · Accepted Answer

F=6πη rv η=(F/6π rv) =(MLT-2/L× LT-1) =ML-1T-1

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

$a = b = c = 1$

$a = b = 1$ , $c = - 1$

$a = 1$ , $b = c = - 1$

$a = c = - 1$ , $b = 1$

$F = 6 π ηr v$
$η = \frac{F}{6 π r v}$
$= \frac{M L T ^{- 2}}{L \times L T ^{- 1}}$
$= M L^{- 1} T^{- 1}$

Q. The dimensional formula of coefficient of viscosity can be expressed as MaLbTc . What are the values of a , b and c .

a=b=c=1

a=b=1 , c=−1

a=1 , b=c=−1

a=c=−1 , b=1