Questions
The length of a steel cylinder is kept constant by applying pressure at its two ends. When the temperature of rod is increased by 100oC from its initial temperature, the increase in pressure to be applied at its ends is
detailed solution
Correct option is B
If the rod is allowed to expand, then it will expand by Δl=lα ΔT due to increase in temperature by ΔT. But as the length of the cylinder is kept constant by applying pressure, a stress is developed in the cylinder. The decrease in length of cylinder due to elasticity is Δl=lαΔT and a compressive stress will develop in it.Stress = Excess pressure applied at ends∆P=Y×Δll=YαΔT=2×1011×11×10−6×100=2.2×103atmSimilar Questions
The coefficient of linear expansion of brass and steel are and . If we take a brass rod of length and steel rod of length at 0oC, their difference in length will remain the same at all temperatures if
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