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JEE Main 2026 · 6 Apr · Shift 1, Physics question 30

A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is 4×1084\times10^8 N/m² and its radius is 4 mm, then maximum acceleration the lift can take is ________ m/s².

(take g=10g=10 m/s² and π=3.14\pi=3.14)

Choose one option
Answer and worked solution

Official answer: A

Maximum tension.
T=4×108×3.14×(4×10−3)2=20096 N.T=4\times10^8\times3.14\times(4\times10^{-3})^2=20096\text{ N}.

Acceleration. T−mg=maT-mg=ma:
a=200961600−10=2.56 m/s2.a=\frac{20096}{1600}-10=2.56\text{ m/s}^2.

(A)