Assertion A: Product of Pressure P and time t has the same dimension as that of coefficient of viscosity.…

Assertion A: Product of Pressure P and time t has the same dimension as that of coefficient of viscosity.

Reason: Coefficient of viscosity = Force  Velocity gradient 

  1. Both A and R true, and R is correct explanation of A.
  2. Both A and R are true but R is NOT the correct explanation of A.
  3. A is true but R is false.
  4. A is false but R is true.

Solution

Viscous force is given by F=ηAdvdt, here, A is area and dvdt is velocity gradient.

Thus, η=FAdvdt.

Now,  Pt=FAt=ηdvdtt

Then, Pt=ML-1T-1=η

Thus, assertion is true but reason is false.

Asked in: JEE Main 2022 (28 Jun Shift 1)

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