Question

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 coefficient of viscosity.
Reason R : Coefficient of viscosity $=\frac{\text { Force }}{\text { Velocity gradient }}$
Question: Choose the correct answer from the options given below :

• A. Both A and R true, and R is correct explanation of A.
• B. Both A and R are true but R is NOT the correct explanation of A.
• C. A is true but R is false.
• D. A is false but R is true.

Answer 1

Answer: (C)

Pressure and time
$P: \frac{N}{ m ^{2}}, \text { Time }: Sec$
$ Pt =\frac{ N \sec }{ m ^{2}} $
$\eta=\frac{ F }{6 \pi rv }: \frac{ N }{ m \cdot m / \sec }: \frac{ N \sec }{ m ^{2}}$