JEE MAIN - Physics (2022 - 28th June Morning Shift - No. 1)

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 = $${{Force} \over {Velocity\,gradient}}$$

Choose the correct answer from the options given below :

Both A and R are true, and R is the correct explanation of A.

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

A is true but R is false.

A is false but R is true.

[Pressure][Time] = $$\left[ {{{Force} \over {Area}}} \right]$$$$\left[ {{{distance} \over {Area}}} \right]$$

[Coefficient of viscosity] = $$\left[ {{{Force} \over {Area}}} \right]$$$$\left[ {{{distance} \over {Area}}} \right]$$

Statement 'A' is true

But Statement 'R' is false are coefficient of viscosity

$$ = {{Force} \over {Area \times Velocity\,gradient}}$$