A physical quantity is P = 4π²A³B²/(√C·D). Percentage errors in A, B, C, D are 1%,3%,2%,4%, respectively, and the calculated P is 3.763. Select the correct statements.
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Question

A physical quantity is P = 4π²A³B²/(√C·D). Percentage errors in A,B,C,D are 1%,3%,2%,4%, respectively, and the calculated P is 3.763. Select the correct statements.

G1 Physics · Accepted Answer

For P∝A³B²C⁻¹ᐟ²D⁻¹, percentage error=3(1)+2(3)+0.5(2)+1(4)=14%, so B is true. Absolute error=0.14×3.763≈0.527≈0.53, so C is true. Correct answers: B,C.