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Question

The Dimensional Formula for Youngs Modulus Is


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Solution

Step 1: Definition and formula of Young's modulus

Young's modulus is the property of the material that tells how easily we can stretch that material.

Formula: Y=StressStrain=FLlA

Where F is the force applied

Lis the original length

A is the area of cross-section

l is the deformation in the length

Step 2: Finding the dimension of Young's modulus

Substitute all the dimensional formulas of F,L,A,l in the formula respectively.

Dimensional formula of Young's modulus,

Y=FLlAY=[M1L1T-2][M0L1T0][M0L1T0][M0L2T0]Y=M1L-1T-2

Dimensional formula of Youngs modulus Y is M1L-1T-2


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