A) force
B) energy
C) pressure
D) coefficient of viscosity
Correct Answer: D
Solution :
Key Idea: Pascal is unit of pressure. Pascal is unit of pressure, hence its dimensional formula is\[[M{{L}^{-1}}{{T}^{-2}}]\] \[\therefore \] Dimensional formula of Pascal-second is \[[M{{L}^{-1}}{{T}^{-1}}]\] From the formula of coefficient of viscosity, we have\[\eta =\frac{F}{A(\Delta v/\Delta z)}\]where F is force, A is area and \[\frac{\Delta v}{\Delta z}\] is velocity gradient. \[\therefore \] Dimensions of \[\eta =\frac{[ML{{T}^{-2}}]}{[{{L}^{2}}][L{{T}^{-1}}/L]}\] \[=[M{{L}^{-1}}{{T}^{-1}}]\] Hence, Pascal-second has dimensions of coefficient of viscosity.
You need to login to perform this action.
You will be redirected in
3 sec
