A uniform cylindrical wire (Young’s modulus =2×1011N m−2 ) is subjected to a longitudinal tensile stress of 5×107N m−2 . If the overall volume change in the wire is 0.02%, the fractional decrease in the radius of the wire is
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
1.5×10−4
b
1.0×10−4
c
1.5×10−4
d
0.5×10−4
answer is D.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Strain=Δll=StressY=5×1072×1011= 2.5×10-4 V=πr2l∴ΔVV=2Δrr+Δll or Δrr=12ΔVV-Δll = 122×10-4 +2.5×10-4 =0.5×10-4
A uniform cylindrical wire (Young’s modulus =2×1011N m−2 ) is subjected to a longitudinal tensile stress of 5×107N m−2 . If the overall volume change in the wire is 0.02%, the fractional decrease in the radius of the wire is