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If speed (V), accerleration (A) and force (F) are considered as fundamental units, the dimension of Young's modulus will be

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The unit of speed is L/T , acceleration is L/T² and that of force is ML/T². Since Y=FL/eA, where 'e' is the length change.(area unit is L²)

Y=ML*L/L*T²*L²=M/LT²

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