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  • Please help! Which one of the following represents the correct dimensions of the coefficient of viscosity?

 

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)

best_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.

Posted by

perimeter

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Answers 3

Posted by

M DEBENDRA PATRA

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