SATHEE: Physical World Units and Measurements

Physical World Units and Measurements - Result Question 30

32. According to Newton, the viscous force acting between liquid layers of area $A$ and velocity gradient $Δ V / Δ Z$ is given by $F = - η A \frac{Δ V}{Δ Z}$ where $η$ is constant called coefficient of viscosity. The dimensional formula of $η$ is

(a) $M L^{- 2} T^{- 2}$

(b) $M^{0} L^{0} T^{0}$

(d) $M L^{- 1} T^{- 1}$

[1990]

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Answer:

Correct Answer: 32. (d)

Solution:

(d) $F = - η A \frac{Δ V}{Δ Z}$

$\Rightarrow η = (- 1) \frac{F Δ Z}{A Δ V}$

So dimensional formula of $η$

$\Rightarrow \frac{[M L T^{- 2}] [L]}{[L^{2}] [L T^{- 1}]}$

$\Rightarrow [M L^{- 1} T^{- 1}]$

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Physical World Units and Measurements - Result Question 30

32. According to Newton, the viscous force acting between liquid layers of area A and velocity gradient ΔV/ΔZ is given by F=−ηAΔVΔZ where η is constant called coefficient of viscosity. The dimensional formula of η is

Answer:

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32. According to Newton, the viscous force acting between liquid layers of area $A$ and velocity gradient $Δ V / Δ Z$ is given by $F = - η A \frac{Δ V}{Δ Z}$ where $η$ is constant called coefficient of viscosity. The dimensional formula of $η$ is