Published by:
CGP EDU Academic Team
Published on: September 13, 2026
If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are a, b, and c, respectively. The ratio between the increase in lengths of brass and steel wires would be
Text Solution
Verified by ExpertsThe correct answer is:
D
Given, 

Let Young's modulus of steel be
, and that of bras be 
……… (i)
and
…… ..(ii)
Dividing equation (i) by equation (ii), we get
…… (iii)
Force on steel wire from free body diagram
Newton
Force on brass wire from free body diagram
Newton
Now putting the value of
in Equation (iii), we get

Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A cube of metal is subjected to a hydrostatic pressure of . The percentage change in the length of…
Two steel wires having same length are suspended from a ceiling under the same load. If the ratio o…
When the temperature of a metal wire is increased from to its length increases by The percentage…
Two different wires having lengths and , and respective temperature coefficient of linear expansi…
Speed of a transverse wave on a straight wire (mass , length and area of cross-section ) is . I…
The elongation of a wire on the surface of the earth is 10 -4 m. The same wire of same dimensions i…