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JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement

એક ભૌતિક રાશિ \(Q\) એ ચાર અવલોકિત રાશિઓ \(a, b, c, d\) સાથે નીચે મુજબ સંબંધિત છે :
\(\mathrm{Q}=\frac{\mathrm{ab}{ }^4}{\mathrm{~cd}}\)

જ્યાં, \(\mathrm{a}=(60 \pm 3) \mathrm{Pa} ; \mathrm{b}=(20 \pm 0.1) \mathrm{m} ; \mathrm{c}=(40 \pm 0.2) \mathrm{Nsm}^{-2}\) અને \(\mathrm{d}=(50 \pm 0.1) \mathrm{m}\), તો Q માં પ્રતિશત ત્રુટિ \(\frac{x}{1000}\) છે, જ્યાં \(x=\) ________ .

  1. A 7500
  2. B 7200
  3. C 7700
  4. D 7100
Verified Solution

Answer & Solution

Correct Answer

(C) 7700

Step-by-step Solution

Detailed explanation

\begin{aligned} & \mathrm{Q}=\frac{\mathrm{ab}^4}{\mathrm{~cd}} \\ & \Rightarrow \frac{\Delta \mathrm{Q}}{\mathrm{Q}} \times 100=\left[\frac{\Delta \mathrm{a}}{\mathrm{a}}+4 \frac{\Delta \mathrm{~b}}{\mathrm{~b}}+\frac{\Delta \mathrm{c}}{\mathrm{c}}+\frac{\Delta…

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