A thin $1 \,m$ long rod has a radius of $5\, mm$. A force of $50\,\pi kN$ is applied at one end to determine its Young's modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is $0.01\, mm$, which of the following statements is false ?
A thin $1 \,m$ long rod has a radius of $5\, mm$. A force of $50\,\pi kN$ is applied at one end to determine its Young's modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is $0.01\, mm$, which of the following statements is false ?
- [JEE MAIN 2016]
- A
The maximum value of $Y$ that can be determined is $10^{14}\,N/m^2$
- B
$\frac{{\Delta Y}}{Y}$ gets minimum contribution from the uncertainty in the length
- C
$\frac{{\Delta Y}}{Y}$ gets its maximum contribution from the uncertainty in strain
- D
The figure of merit is the largest for the length of the rod.
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- [KVPY 2019]