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In Young's modulus determination: Y = (FL)/(A ΔL). Maximum percentage error if F (force) 1%, L (length) 2%, A 3%, ΔL 4%:
A2%
B10% (= 1 + 2 + 3 + 4)
C10%
D6%
Answer & Solution
Correct answer: B. 10% (= 1 + 2 + 3 + 4)
Y has F¹L¹A⁻¹ΔL⁻¹. ΔY/Y = 1 × 1% + 1 × 2% + 1 × 3% + 1 × 4% = 10%. (Each exponent is 1 in absolute value.)
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