Question

Young modules of elasticity is related with change in

Answer 1

$\huge\red{Young\:Modulus\:of\:elasticity }$

$Young \: modulus \: of \: elasticity \: is \: defined \: as \: the \: ratio \: between \: stress \: to \: longitudinal \: strain.$

Let us consider a wire .

Take L=length

r=radius

m=mass

ΔL=change in length

whose one end is fixed with a rigid support, suspended force on the wire is due to it's weight,

then W=mg

Area=πr^2

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$\textbf{\huge{\orange {Mathematically, }}}$

Strain/ΔL/L

=Stress n*L/ΔL

(Young modulus) E=W-mg

A=πr^2

=F/A*L/ΔL

=FL/A*ΔL

=MgL/πr^2ΔL

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▶ It's S. I unit is N/m.

▶It's C.G.S unit is dyne/cm.

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Dimension: [M^1L^-1T^-2]

$\huge{\boxed{\boxed{\boxed{\red{\mathcal{It \:is\:related \:with\:change \:in\:stress\:applied. }}}}}}$