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A physical quantity Q=(a^(2)b^(3)c^(5/2))/(x^(2)).If the percentage errors in the measurement of 'a','b','c' and x are 1%,2%,3%,4% reperctively, What is the percentage error in the measurement of Q ? |
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Answer» Solution :Here `Q=(a^(2)b^(3)c^(5//2))/(x^(2))` `:.(dQ)/(Q)=(2da)/(a)+(3db)/(b)+(5)/(2)(DC)/(c )+2(dx)/(x)` or `(dQ)/(Q)xx100=[2(da)/(a)+3(db)/(b)+(5)/(2)(dc)/(c )+2(dx)/(x)]xx100` or percentage errors `Q` is `=[2xx1+3xx2+(5)/(2)xx3+2xx4]` `=23.5%~~24%` `:.(a)` is correct. |
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