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Question

# Young's modulus of steel is 1.9×1011Nm−2. Expressed in CGS(Given 1N=105 dyne, 1m2=104cm2)

A
1.9×1010
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B
1.9×1011
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C
1.9×1012
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D
1.9×1013
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Solution

## The correct option is D 1.9×1012Dyne and Newton, both are units of force. While Dyne is specified in C-G-S(Centimeter – Gram – Second) unit system, Newton is specified in modern SI unit system which gives the relationship Young’s Modulus between stress and strain. It is used to measure hardness of material.Here stress is force applied per unit area, strain is deformation happened on object. E=6ϵ=FAΔLL0=Fl0AΔLWhere, σ= Stress in Pascalϵ= Strain or deformationF= ForceA= Cross sectioned areaΔL= Change in LengthLo= Actual LengthE= Young’s ModulusHere E=1.9×10N/M2 Let’s convert it into CGS unit system.=1.9×1011Newtons/meter2=1.9×1011×105104cm2=1.9×1012dyne/cm2E=1.9×1012dyne/cm2

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