Dimension of modulus of elasticity
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modulus of elasticity =
Force ×L/Area × Change in length
so in the dimension only the Force/Area will be counted because the length L and the change in length will cancel out each other.
so dimension of Force is [MLT^-2] and for Area is [L^2].
therefore
[MLT^-2]/[L^2]
= [ML^-1T^-2]
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