Question

define young's modulus and how to find young's modulus.​

Answer 1

Answer:Young's modulus is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression. Sometimes referred to as the modulus of elasticity, Young's modulus is equal to the longitudinal stress divided by the strain.

Explanation:

Answer 2

Question:

define young's modulus and how to find young's modulus.

Answer:

Young's modulus:-

The ratio of stress to tensile stain is called young's modulus.

Explanation:-

Consider a long bar of length Lo and cross-sectional area A. Let an external force F equal to the weight w stretch it such that the stretched length becomes L. According to Hooke's law, the ratio of this stress to tensile strain is constant within the elastic limit of the body.

Mathematically,

$\large \bf{young's \: modulusY = \frac{stress}{tensile \: stain} } \\ \\\large \bf{let \:ΔL \: be \: the \: chang \: in \: the \: length \: of \: rod \: then} \\ \\ \large \bf{ΔL =L - Lo} \\ \\ \large \bf{stress = \frac{Force}{Area} \: \: \: = \frac{F}{A} } \\ \\ \large \bf{tensile \: stain = \frac{L - Lo}{Lo} \: \: \: \: \: = \frac{ΔL}{Lo} } \\ \\ \large \bf{Y = \frac{stress}{tensile \: stain} } \\ \\ \large \bf{ = \frac{F}{A} \times \frac{Lo}{ΔL} } \\ \\\large \bf{ Y = \frac{FLo}{AΔL} }$

SI unit:-

SI unit of Young's modulus is newton per square metre (Nm-2).