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A wire of length 2 m and cross sectional area10-4 m2 is stretched by a load 102 kg. The wireis stretched by 0.1 cm. Calculate longitudinalstress, longitudinal strain, Young's modulus ofmaterial of wire. |
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Answer» Given, length of wire, l = 2m cross sectional area , A = 10^-4 m² Load , F = 102kgwt = 102 × 9.8 N extension of wire, ∆l = 0.1cm = 0.001m Longitudinal stress = F/A = 102 × 9.8/(10^-4) = 999.6 × 10^4 ≈ 1 × 10^7 N/m² Longitudinal strain. = extension of wire/original length of wire = ∆l/l = 10^-3/2 = 5 × 10^-4 we know, Young's modulus = longitudinal stress/longitudinal strain = 1 × 10^7/5 × 10^-4 = 20 × 10^9 N/m² Like my answer if you find it useful! |
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