In the determination of Young's modulus $\left(Y=\frac{4 \mathrm{MLg}}{\pi \mathrm{ld}^2}\right)$ by using Searle's method, a wire of length $\mathrm{L}=2 \mathrm{~m}$ and diameter $\mathrm{d}=0.5 \mathrm{~mm}$ is used. For a load $\mathrm{M}=2.5 \mathrm{~kg}$, an extension $\ell=0.25 \mathrm{~mm}$ in the length of the wire is observed. Quantities d and $\ell$ are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5 mm . The number of divisions on their circular scale is 100 . The contributions to the maximum probable error of the Y measurement
Select the correct option:
A
due to the errors in the measurements of d and $\ell$ are the same.
B
due to the error in the measurement of d is twice that due to the error in the measurement of $\ell$.
C
due to the error in the measurement of $\ell$ is twice that due to the error in the measurement of d .
D
due to the error in the measurement of d is four time that due to the error in the measurement of $\ell$.
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇