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Questions  

A mild steel wire of length 2L and cross-sectional area A is stretched, well within elastic limit, horizontally between two pillars (figure ). A mass m is suspended from the mid-point of the wire. Strain in the wire is [NCERT Exemplar]

a
x22L2
b
xL
c
x2/L
d
x2/2L

detailed solution

Correct option is A

Consider the diagram belowHence, change in length,  ΔL=BO+OC−(BD+DC)=2BO−2BD (∵BO=OC,BD=DC)=2[BO−BD]=2x2+L21/2−L=2L1+x2L21/2−1≈2L1+12x2L2−1=x2L(∵x<

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Similar Questions

Consider the following statements.
(A) Stress is the internal restoring force per unit area of a body.
(B) Rubber is more elastic than brass. 

Select the correct option.
(a)(A) is false, But (B) is true.
(b) Both (A) and (B)are true.
(c) (A) is true, But (B) is false.
(d) Both (A)and(B)are false.


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