Which one of the following represents the correct dimensions of the coefficient of viscosity?

Option 1)

ML-1T-2

Option 2)

MLT-1

Option 3)

ML-1T-1

Option 4)

ML-2T-2

Answers (3)

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.

N neha

Answers 3

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