Search any question & find its solution
Question:
Answered & Verified by Expert
A horizontal steel railroad track has a length of $100 \mathrm{~m}$ when the temperature is $25^{\circ} \mathrm{C}$. The track is constrained from expanding or bending. The stress on the track on a hot summer day, when the temperature is $40^{\circ} \mathrm{C}$, is (Note: The linear coefficient of thermal expansion for steel is $1.1 \times 10^{-5} /{ }^{\circ} \mathrm{C}$ and the Young's modulus of steel is
$\left.2 \times 10^{11} \mathrm{~Pa}\right)$
Options:
$\left.2 \times 10^{11} \mathrm{~Pa}\right)$
Solution:
2343 Upvotes
Verified Answer
The correct answer is:
$3.3 \times 10^{7} \mathrm{~Pa}$
$\frac{F}{A}=Y \alpha . \Delta T=2 \times 10^{11} \times 1.1 \times 10^{-5} \times 15$
$3.3 \times 10^{7} \mathrm{~Pa}$
$3.3 \times 10^{7} \mathrm{~Pa}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.