JEE Mains · Physics · STD 11- Mechanical properties of solids
- JEE Mains 2016
- Easy
- MCQ
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 ?
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) The maximum value of \(Y\) that can be determined is \(10^{14}\,N/m^2\)
Step-by-step Solution
Detailed explanation
\(Young's\,modulus\,Y = \frac{F}{A}/\frac{{\Delta \ell }}{\ell }\)
\(Y = \frac{{Fl}}{{\pi {r^2}\Delta l}}\)
\(Given,\,radius = 5mm,forceF = 50\pi KN,\)
\(\frac{\ell }{{\Delta \ell }} = 0.01\,mm\)
\(\therefore \,Y = \frac{F}{{\pi {r^2}}}\frac{\ell }{{\Delta \ell }} = 2 \times {10^{14}}N/{m^2}.\)
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