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← JEE Main 2022 · 30 Jul · Shift 2
PhysicsSingle correct+4 / -1Question 6 of 90

JEE Main 2022 · 30 Jul · Shift 2, Physics question 6

A block of mass M is attached to a wire. The upper part of wire is made of steel and lower part of wire of copper (as shown in figure). Both parts have the same area of cross section. Neglecting the mass of wires, the ratio of longitudinal strain developed in steel and copper wires is :

(Given, Young's modulus of steel = 2×10112\times10^{11} N/m2^2 and Young's modulus of copper = 1.5×10111.5\times10^{11} N/m2^2)

A wire hanging from a fixed support: the upper part is steel and the lower part copper, joined in the middle, with block M at the bottom.
Choose one option
Answer and worked solution

Official answer: D

Same tension and area, so the same stress; strain ∝1Y\propto\frac1Y: 1.52=34\dfrac{1.5}{2}=\dfrac34.

(D)