JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
A physical quantity \(z\) depends on four observables \(a,\) \(b,\) \(c\) and \(d ,\) as \(z =\frac{ a ^{2} b ^{\frac{2}{3}}}{\sqrt{ c } d ^{3}} .\) The percentage of error in the measurement of \(a, b, c\) and \(d\) are \(2 \%, 1.5 \%, 4 \%\) and \(2.5 \%\) respectively. The percentage of error in \(z\) is\(......\%\)
- A \(12.5\)
- B \(14.5\)
- C \(16.5\)
- D \(13.5\)
Answer & Solution
Correct Answer
(B) \(14.5\)
Step-by-step Solution
Detailed explanation
\(\frac{\Delta Z}{Z}=\frac{2 \Delta a }{ a }+\frac{2}{3} \frac{\Delta b }{ b }+\frac{1}{2} \frac{\Delta c }{ c }+\frac{3 \Delta d }{ d }=14.5 \%\)
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