JEE Advanced 2010 Physics question
A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1m and its cross-sectional area is . If the mass is pulled a little in the vertically downward direction and released, it performs simple harmonic motion of angular frequency 140 rad . If the Young's modulus of the material of the wire is , the value of n is
Answer: 4
Solution
A wire of length L, area A and Young's modulus Y behaves like a spring: an extra extension x produces a restoring force , so the force constant is . For SHM, $ω
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