JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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Application +4 | -1

In an experiment four quantities

a, b, c

and

d

are measured with percentage error

2 \%, 3 \%, 4 \%

and

1 \%

respectively. Quantity

P

is calculated as follows;

P=\frac{a^3 b^2}{c d}

. Percentage error in

P

is;

View answer and explanation

Correct option: D

17 \%

Option D (

17 \%

) is correct because the percentage error in P is calculated by summing the absolute values of the percentage errors in a, b, c, and d, each multiplied by its exponent in the formula for P.

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The method of dimensional analysis can be used to derive which of the following relations? Statement-I: Dimensions of constant of proportionality of constants can be derived from dimensional method
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\left[ {{\mathrm{M}^{ - 1}}{\mathrm{L}^{ - 3}}{\mathrm{A}^2}{T^3}} \right]

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{\varepsilon _0}L\frac{{\Delta V}}{{\Delta t}},\;

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{\Delta V}

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