Practice question
Question
A brass wire of length 2.6m and cross-sectional area 4×10−6m2 is stretched by a force of 400N. If the Young's modulus of brass is 9×1010N/m2, what is the elongation?
Explanation
Young's modulus: Y = FLAΔL. Rearrange: ΔL = FLAY. Substitute: ΔL = 400×2.64×10−6×9×1010 = 10403.6×105≈2.89×10−3m = 2.89mm. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.89mm. This satisfies dimensional consistency and physical conditions given, so option D is scientifically correct.
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