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1.Units, Dimensions and Measurement
medium
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
ABoth $A$ and $R$ true, and $R$ is correct explanation of $A$
BBoth $A$ 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.
(JEE MAIN-2022)
Solution
Pressure and time
$P : \frac{ N }{ m ^{2}}, \text { Time : Sec }$
$Pt =\frac{ Nsec }{ m ^{2}}$
$\eta=\frac{ F }{6 \pi r v}: \frac{ N }{ m \cdot m / sec }: \frac{ Nsec }{ m ^{2}}$
$P : \frac{ N }{ m ^{2}}, \text { Time : Sec }$
$Pt =\frac{ Nsec }{ m ^{2}}$
$\eta=\frac{ F }{6 \pi r v}: \frac{ N }{ m \cdot m / sec }: \frac{ Nsec }{ m ^{2}}$
Standard 11
Physics
