During Searle's experiment,the zero of the Vernier scale lies between $3.20 \times 10^{-2} \text{ m}$ and $3.25 \times 10^{-2} \text{ m}$ of the main scale. The $20^{\text{th}}$ division of the Vernier scale exactly coincides with one of the main scale divisions. When an additional load of $2 \text{ kg}$ is applied to the wire,the zero of the Vernier scale still lies between $3.20 \times 10^{-2} \text{ m}$ and $3.25 \times 10^{-2} \text{ m}$ of the main scale,but now the $45^{\text{th}}$ division of the Vernier scale coincides with one of the main scale divisions. The length of the thin metallic wire is $2 \text{ m}$ and its cross-sectional area is $8 \times 10^{-7} \text{ m}^2$. The least count of the Vernier scale is $1.0 \times 10^{-5} \text{ m}$. The maximum percentage error in the Young's modulus of the wire is:

  • A
    $8$
  • B
    $7$
  • C
    $6$
  • D
    $5$

Explore More

Similar Questions

Measurement of two quantities along with the error is: $A = 2.5 \ ms^{-1} \pm 0.5 \ ms^{-1}$,$B = 0.10 \ s \pm 0.01 \ s$. The value of $AB$ will be:

The error in the measurement of the radius of a sphere is $1\%$. The error in the calculated value of its volume is ......... $\%$

The percentage errors in quantities $P, Q, R$ and $S$ are $0.5\%, 1\%, 3\%$ and $1.5\%$ respectively in the measurement of a physical quantity $A = \frac{P^3 Q^2}{\sqrt{R} S}$. The maximum percentage error in the value of $A$ will be ........... $\%$.

Two clocks are being tested against a standard clock located in a national laboratory. At $12:00:00$ noon by the standard clock,the readings of the two clocks are
DayClock $1$Clock $2$
Monday$12:00:05$$10:15:06$
Tuesday$12:01:15$$10:14:59$
Wednesday$11:59:08$$10:15:18$
Thursday$12:01:50$$10:15:07$
Friday$11:59:15$$10:14:53$
Saturday$12:01:30$$10:15:24$
Sunday$12:01:19$$10:15:11$

If you are doing an experiment that requires precision time interval measurements,which of the two clocks will you prefer?

$A$ physical quantity $P$ is given as $P = \frac{a^2 b^3}{c \sqrt{d}}$. The percentage errors in the measurement of $a, b, c,$ and $d$ are $1 \%, 2 \%, 3 \%,$ and $4 \%$ respectively. The percentage error in the measurement of quantity $P$ will be $.......\%$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo