JEE Main 2022 · 25 Jun · Shift 2 · Physics Q51

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For $z=a^2x^3y^{\frac12}$ , where ' $a$ ' is a constant. If percentage error in measurement of ' $x$ ' and ' $y$ ' are 4% and 12%, respectively, then the percentage error for ' $z$ ' will be ______%.

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Answer and worked solution

Official answer: 18

Percentage errors add with powers: $3(4\%)+\frac12(12\%)=12\%+6\%=18\%$ .

Answer: 18

Topics:Errors in measurement

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JEE Main 2022 · 25 Jun · Shift 2, Physics question 51