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Question

Physics Question on Units and measurement

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
=ForceVelocitygradient= \frac{Force}{Velocity ∼ gradient}

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

A is true but R is false.

Explanation

Solution

The correct answer is (C) : A is true but R is false.
[Pressure][Time]=[ForceArea][DistanceVelocity][ Pressure ] [ Time ] = [ \frac{Force} {Area} ] [ \frac{Distance} {Velocity} ]
[Coefficientofviscosity]=[ForceArea][DistanceVelocity][ Coefficient ∼ of ∼ viscosity ] = [ \frac{Force }{Area} ] [ \frac{Distance }{Velocity} ]
Statement 'A' is true
But statement R is false are coefficient of viscosity
= ForceArea×Velocitygradient\frac{Force} {Area × {Velocity} {gradient}}