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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
Similar Questions
Match List $I$ with List $II$
| List $I$ | List $II$ |
| $(A)$ Young's Modulus $(Y)$ | $(I)$ $\left[ M L ^{-1} T ^{-1}\right]$ |
| $(B)$ Co-efficient of Viscosity $(\eta)$ | $(II)$ $\left[ M L ^2 T ^{-1}\right]$ |
| $(C)$ Planck's Constant $(h)$ | $(III)$ $\left[ M L ^{-1} T ^{-2}\right]$ |
| $(D)$ Work Function $(\phi)$ | $(IV)$ $\left[ M L ^2 T ^{-2}\right]$ |
