JEE Main 2022 · 25 Jul · Shift 1 · Physics Q31

PhysicsSingle correct+4 / -1Question 31 of 90

If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :

\left[PA^{-1}T^0\right]

\left[PAT^{-1}\right]

\left[PA^{-1}T\right]

\left[PA^{-1}T^{-1}\right]

Answer and worked solution

Official answer: A

Viscosity $=\dfrac{F}{A\cdot(dv/dx)}$ with $F=\frac PT$ and $\frac{dv}{dx}\sim T^{-1}$ : $[PA^{-1}T^0]$ .

(A)

Topics:Dimensional analysis

JEE Main 2022 · 25 Jul · Shift 1, Physics question 31