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← JEE Main 2022 · 25 Jul · Shift 1
PhysicsInteger+4 / -1Question 53 of 90

JEE Main 2022 · 25 Jul · Shift 1, Physics question 53

A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force F, its length increases by 5 cm. Another wire of the same material of length 4L and radius 4r is pulled by a force 4F under same conditions. The increase in length of this wire is ______ cm.

Answer and worked solution

Official answer: 5

Extension ∝FLr2\propto\frac{FL}{r^2}: 4×416=1\frac{4\times4}{16}=1, so 5 cm.

Answer: 5