# 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 percentages 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 :

Question:

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 percentages 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 :

1. $12.25 \%$

2. $16.5 \%$

3. $13.5 \%$

4. $14.5 \%$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Physical World, Units and Measurements chapter.

JEE Main Previous Year Sep. 05, 2020 (I)

Correct Option: 4

Solution:

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