AP EAMCET · PHYSICS · Mathematics in Physics
A physical quantity \(P\) is related to four observables \(a, b, c\) and \(d\) as \(P=\frac{\sqrt{a b} \cdot d^\alpha}{\sqrt{c}}(\alpha\) is constant) The percentage errors in \(a, b, c\) and \(d\) are \(0.5 \%\) in each. If the percentage error in \(P\) is \(2 \%\), then \(\alpha\) is
- A \(\frac{5}{2}\)
- B \(\frac{2}{5}\)
- C \(\frac{3}{4}\)
- D \(\frac{3}{2}\)
Answer & Solution
Correct Answer
(A) \(\frac{5}{2}\)
Step-by-step Solution
Detailed explanation
As, \(P=\frac{a^{1 / 2} \cdot b^{1 / 2} \cdot d^\alpha}{c^{1 / 2}}\) So \(\%\) error in \(P=\frac{\Delta P}{P} \times 100\)…
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