Practice question

MCQ

Question

A steel wire of length 2.0m and cross-sectional area 2.5×10−6m2 is stretched by a force of 250N. If the Young's modulus of steel is 2×1011N/m2, what is the strain produced?

Options

Choose one · Correct answer highlighted

5×10−4 Correct 6×10−4 4×10−4 3×10−4

Explanation

Stress: Stress = FA = 2502.5×10−6 = 1×108N/m2. Young's modulus: Y = StressStrain. Strain: Strain = StressY = 1×1082×1011 = 5×10−4. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5×10−4. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.

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