Two wires are of the same material have masses in the ratio 3:4 What is the ratio of their - Physics - Mechanical Properties of Solids and Fluids

Question

Two wires are of the same material have masses in the ratio 3:4
What is the ratio of their extensions under the same load , if
their lengths are in the ratio 9:10? a) 5/3 b] 27/30 c] 6/5 d]
27/25

Sanjay Singh · Accepted Answer

mass of wire=area of cross section ×length×densitym1=A1×l1×ρ
(for first wire)m2=A2×l2×ρ
(for second wire)m1m2=A1×l1A2×l234=A1×9A2×10A1A2=56As youngs modulus is the same for both the wiresY=F1A1×L1∆l1
1(for first wire)Y=F2A2×L2∆l2
2(for second wire)equating 1 and 2FA1×L1∆l1=FA2×L2∆l2∆l1∆l2=A2A1×L1L2=65×910=2725regardsDear
student

Two wires are of the same material have masses in the ratio 3:4. What is the ratio of their extensions under the same load , if their lengths are in the ratio 9:10? a) 5/3 b] 27/30 c] 6/5 d] 27/25