Latest Gate Aptitude Question SOLUTION: Two bars of different materials and same size are subjected to the same tensile force. If the bars have unit elongation in the ratio of 2:5, then the ratio of modulus of elasticit

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(#M40156691) GATE HR Interview question ENGINEERING SOM Keep an EYE

Two bars of different materials and same size are subjected to the same tensile force. If the bars have unit elongation in the ratio of 2:5, then the ratio of modulus of elasticity of the two materials will be


A. 2:5
B. 5:2
C. 4:3
D. 3:4

Asked In Gate Jaspalsingh Parmar (7 years ago)

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Karthick  (7 years ago)

According to the definition of modulus of elasticity, it is tensile stress to the tensile strain

given that

- same size and same tensile force
-elongation in the ratio of 2:5

lets take E1 and E2 as modulus of elasticity of bar 1 and bar 2

Elongation of bar 1:Elongation of bar 2 = 2:5

E1=(tensile stress/tensile strain) = (p/A)/strain (elongation of bar 1)
E1 = (p/A)/2

and

E2 = (p/A)/5

E1/E2 =((p/A)/2)/((p/A)/5)=5:2

Hence the answer is 5:2

Hope I am correct...Let me know in case wrong

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