A physical parameter a can be determined by measuring the p…

Physics Units, Dimensions and Measurement Errors of Measurement Single Correct MCQ

Published on: September 12, 2026

A physical parameter a can be determined by measuring the parameters b, c, d and e using the relation a = \(b^{\cdot c^{\cdot / d^{\cdot e^{\cdot}}}}\) . If the maximum errors in the measurement of b, c, d and e are \(\delta_1\) %, C_{1} %, d' % and e_{1} %, then the maximum error in the value of a determined by the experiment is

( b + c + d + e_1 )%

( b + c_{1} - d_{1} - e )%

( \(r\dot{b}_{1} + r\dot{c}_{1} - y\dot{d} \cdot \dot{e}_{1}\) )%

( \(r \mathbf{b}_1 + s \mathbf{c}_1 + t \mathbf{d}_1 + u \mathbf{e}\) )%

Text Solution

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The correct answer is:

a = b^{c^c} c^{c^c} / d^{d^1} e^{e^1}

So maximum error in a is given by

\(\left|\frac{y_o}{o}\right| \times 100! = \alpha . \frac{y_b}{b} \times 100 + \beta . \frac{y_c}{c} \times 100\)

\(+ r : \frac{a}{d} \times 100 + o) . \frac{e}{e} \times 100\)

\(\left( c_{x1} + j x_{1} + y x_{1} + n x_{1} \right) hc\)

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