Question

What Are The Dimension Of Young Modulus

Answer 1

Young's modulus

Young's modulusSI unit pascal

Young's modulusSI unit pascalIn SI base units Pa = kg m−1 s−2

Young's modulusSI unit pascalIn SI base units Pa = kg m−1 s−2Derivations from other quantities

Young's modulusSI unit pascalIn SI base units Pa = kg m−1 s−2Derivations from other quantities Dimension M L−1 T−2

Answer 2

Dimension of Young's Modulus is [ML⁻¹T⁻²]

Explanation:

• Young's modulus is the coefficient of elasticity when we have linear expansion of the material that is stress applied on any solid and some extension in length is being recorded

• It is given as the ratio of longitudinal stress to longitudinal strain that is stress applied on the object lengthwise and we observe the extension in its length
• This coefficient of elasticity gives the ability of material to extend in length or the ability up to which the body can stay under stress without breaking

• It is given as $Young's modulus=\frac{stress}{strain}$

                                      Stress = $\frac{Force}{Area}$

                                       Stress = $\frac{[MLT^{-2}] }{[L^{2}] }$

                                        Stress = [ML⁻¹T⁻²]

                                         Strain = dimensionless

                                          Y = [ML⁻¹T⁻²]

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