First slide

Dimensions of physical quantities

Question

In the relation $V = \frac{π}{8} \frac{P r^{4}}{n l}$ , where the letters have their usual meanings, the dimensions of V are

Moderate

A

$M^{0} L^{3} T^{0}$
B

$M^{0} L^{3} T^{- 1}$
C

$M^{0} L^{- 3} T^{- 1}$
D

$M^{1} L^{3} T^{0}$

Solution

$V = \frac{π}{8} \frac{P r^{4}}{n l} = \frac{M L^{- 1} T^{- 2} L^{4}}{M L^{- 1} T^{- 1} L} = M^{0} L^{3} T^{- 1}$

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