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Exam: JEE Main
Subject: Physics
Chapter: Mathematics in Physics

JEE Main · Physics · Mathematics in Physics

The percentage errors in measurements of mass and speed of a body...

The percentage errors in measurements of mass and speed of a body are

2 \%

and

3 \%

respectively. What is the percentage error in kinetic energy of the body?

Options

A $9 \%$
B $5 \%$
C $8 \%$
D $0 \%$

Correct answer

C. $8 \%$

Step-by-step solution

(C) Given percentage errors in mass and velocity

=2 \%

and

3 \%

respectively The kinetic energy of the particle is given by

\mathrm{KE}=\frac{\mathrm{mv}^{2}}{2}

The percentage error in kinetic energy will be

\frac{\Delta \mathrm{m}}{\mathrm{m}} \times100+2 \frac{\Delta \mathrm{v}}{\mathrm{v}} \ttimes100

\begin{array}{l} =2+6 \\ =8 \% \end{array}

$

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