wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The speed of a transverse wave, travelling on a wire having a length of 100 cm and mass 10 g is 160 m/s. The area of cross-section of the wire is 2 mm2 and its Young's modulus is 32×1011 N/m2. Find the extension of the wire from its natural length. [Assume extension is very less as compared to the length of the wire]

A
0.08 mm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0.04 mm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
0.02 mm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1 mm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 0.04 mm
Linear mass density (μ)=10×103100×102=102 kg/m
Wave speed (V)=Tμ
T=μV2
=102×160×160=256 N
As we know, Young's modulus is given by
Y=T/AΔL/L
So, ΔL=TLAY
=256×12×106×32×1011=4×105m
=0.04 mm

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon