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JEE Main

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

JEE Main · Physics · Mathematics in Physics

In an experiment of simple pendulum, the errors in the measurement...

In an experiment of simple pendulum, the errors in the measurement of length of the pendulum

(L)

and time period

(T)

are

3 \%

and

2 \%

, respectively. The maximum percentage error in the value of

\frac{L}{T^2}

is

Options

A $\mathbf{5} \%$
B $7 \%$
C $8 \%$
D $1 \%$

Correct answer

B. $7 \%$

Step-by-step solution

Maximum percentage in the value of

\frac{L}{T^3}

\begin{aligned} & =\frac{\Delta L}{L} \times 100 \%+2 \frac{\Delta T}{T} \times 100 \% \\ & =3+2 \times 2=7 \%\end{aligned}

$$

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