wiz-icon
MyQuestionIcon
MyQuestionIcon
5
You visited us 5 times! Enjoying our articles? Unlock Full Access!
Question

Two metallic strips each of thickness 104 m are riveted together. Their coefficients of linear expansion are 105 C1 and 2×105 C1. If they are heated through a temperature change of 50 C, the bimetallic strip will bend to form an arc of radius

A
10 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
20 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
30 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
40 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 20 cm
Given:
Thickness of metallic strips, t=104 m
Coefficient of linear expansion of strip 1, α1=105 C1
Coefficient of linear expansion of strip 2, α2=2×105 C1
Temperature change, ΔT=50 C
To find:
Radius of arc of bimetallic strip, r=?


We know that, radius of arc is given by
r=t(α2α1)ΔT
r=104(2×105105)×50
r=0.2 m=20 cm

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