Physics

The dimensions of a modulus of elasticity are:


ANSWER

[$$ML^{-1}T^{-2}$$]


SOLUTION

Young modulus, $$\gamma =\dfrac{stress}{strain}=\dfrac{Force\,/\,Area}{\Delta L/L}=\dfrac{\left[ ML{{T}^{-2}} \right]/\,\left[ {{M}^{o}}{{L}^{2}}{{T}^{o}} \right]}{\left[ {{M}^{o}}L{{T}^{o}} \right]/\left[ {{M}^{o}}L{{T}^{o}} \right]}=\left[ M{{L}^{-1}}{{T}^{-2}} \right]$$

Hence, Dimension is $$\left[ M{{L}^{-1}}{{T}^{-2}} \right]$$ .

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