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Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Product of Pressure (P) and time (t) has the same dimension as that of coeffcient of viscosity.
Reason R : Coefficient of viscosity =\frac{\text { Force }}{\text { Velocity gradient }}
Choose the correct answer from the options given below :
 

Option: 1

Both \mathrm{ \mathbf{A} \: and\: \mathbf{R}} true, and \mathbf{R} is correct explanation of \mathbf{A}.

 

 

 

 


Option: 2

Both \mathbf{A}$ and $\mathbf{R} are true but \mathbf{R} is NOT the correct explanation of \mathbf{A}.
 


Option: 3

\mathbf{A} is true but \mathbf{R} is false.
 


Option: 4

\mathbf{A} is false but \mathbf{R} is true.


Answers (1)

best_answer

\mathrm{viscous\: force}

\mathrm{F =-\eta A \frac{d v}{d y}} \\

\mathrm{\eta =\frac{F}{A} \times \frac{d y}{d v}} \\

\mathrm{{[\eta] } =\text { [Pressure]\: x [time] }}

Therefore Assertio A is correct, Reason R is incorrect

Hence the correct option is 3

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Pankaj

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