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← JEE Main 2022 · 29 Jul · Shift 2
PhysicsSingle correct+4 / -1Question 35 of 90

JEE Main 2022 · 29 Jul · Shift 2, Physics question 35

A 1 m long wire is broken into two unequal parts X and Y. The X part of the wire is streched into another wire W. Length of W is twice the length of X and the resistance of W is twice that of Y. Find the ratio of length of X and Y.

Choose one option
Answer and worked solution

Official answer: B

Stretching to twice the length halves the area, so RW=4RX∝4LXR_W=4R_X\propto4L_X. With RW=2RYR_W=2R_Y: 4LX=2LY4L_X=2L_Y, so LX:LY=1:2L_X:L_Y=1:2.

(B)