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 = $\frac{Force}{Velocity gradient}$
Choose the correct answer from the options given below

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(B) Both A and R are true but R is NOT the correct explanation of A.

(A) Both A and R true, and R is correct explanation of A.

(D) A is false but R is true.

answer is C.

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Detailed Solution

$Pressure, P \equiv \frac{N}{m^{2}}, Time , T≡sec$

So, $PT \equiv \frac{N . \sec}{m^{2}}$

Now, $η = \frac{F}{6 πrv} \equiv \frac{N}{m \cdot m / \sec} = \frac{N . \sec}{m^{2}}$

Correct relation is $: Coefficient of viscosity = \frac{Force}{Area×Velocity gradient}$

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