First slide

Dimensions

Question

Dimensions of stress are

Moderate

A

$[M L T^{- 2}]$
B

$[M L^{2} T^{- 2}]$
C

$[M L^{0} T^{- 2}]$
D

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

Solution

We know, stress $= \frac{F o r c e}{A r e a}$ Dimensions of force is $[M^{1} L^{1} T^{- 2}]$ and that of area is $[L^{2}]$ .
$∴$ Dimensions of stress $= \frac{[M^{1} L^{1} T^{- 2}]}{[L^{2}]} = [M^{1} L^{- 1} T^{- 2}]$

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