In an experiment of a simple pendulum,the err | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the quantity be $X = \frac{L}{T^2}$.The relative error in $X$ is given by $\frac{\Delta X}{X} = \frac{\Delta L}{L} + 2 \frac{\Delta T}{T}$.Giv

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(B) Let the quantity be $X = \frac{L}{T^2}$.The relative error in $X$ is given by $\frac{\Delta X}{X} = \frac{\Delta L}{L} + 2 \frac{\Delta T}{T}$.Given that the percentage error in $L$ is $\frac{\Delta L}{L} 	imes 100 = 3 \%$ and the percentage error in $T$ is $\frac{\Delta T}{T} 	imes 100 = 2 \%$.The maximum percentage error in $X$ is $\frac{\Delta X}{X} 	imes 100 = \left( \frac{\Delta L}{L} 	imes 100 ight) + 2 \left( \frac{\Delta T}{T} 	imes 100 ight)$.Substituting the given values: $	ext{Percentage Error} = 3 \% + 2 	imes (2 \%) = 3 \% + 4 \% = 7 \%$.

In an experiment of a 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 (in $\%$)

Similar Questions

$P, Q, R$ and $S$ are four points with the position vectors $3i - 4j + 5k, 2i - j + 4k, -4i + 5j + k$ and $-3i + 4j + 3k$,respectively. Then,the line $PQ$ meets the line $RS$ at the point

The most stable conformation of ethylene glycol is

An electron is travelling along the $x$-direction. It encounters a magnetic field in the $y$-direction. Its subsequent motion will be

The materials suitable for making electromagnets should have

Data Entry - Physics

Vedclass Test Series

Exam Paper Generator

Online Exam Module