Question

which one of the following
represents the correct
dimensions of the coefficient of
viscosty
esty?
A) [ML1T-2]
(6) [ML-2T-2]
(B) [ML-1T-1]
(D) [MLT-1]​

Answer 1

Answer:

Viscous force F=6\pi \eta V

\therefore\ \eta=\frac{F}{6 \pi rv}

or \left [\eta \right ]=\frac{[F]}{[r][v]}

As we learnt in

Dimension -

The power to which fundamental quantities must be raised in order to express the given physical quantities.

-

or [\eta]=\frac{[MLT^{-2}]}{[L][LT^{-2}]}

or [\eta]=[ML^{-1}T^{-1}]

Option 1)

ML-1T-2

This is an incorrect option.

Option 2)

MLT-1

This is an incorrect option.

Option 3)

ML-1T-1

This is the corrrect option.

Option 4)

ML-2T-2

This is an incorrect option.

Answer 2

Explanation:

option c is the answer.