Question
Medium
Solving time: 3 mins
The pressure that has to be applied to the ends of a steel wire of length to keep its length constant when its temperature is raised by is (For steel, Young's modulus is and coefficient of thermal expansion is )
(a)
(b)
(c)
(d)
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Text solutionVerified
Exp. (a)
By Hooke's law,
Young's modulus
So,
If the rod is compressed, then compressive stress and strain appear. Their ratio is same as that for tensile case.
Given, length of a steel wire
Temperture
As length is constant.
Strain as
Now, pressure stress strain
[given, and ]
By Hooke's law,
Young's modulus
So,
If the rod is compressed, then compressive stress and strain appear. Their ratio is same as that for tensile case.
Given, length of a steel wire
Temperture
As length is constant.
Strain as
Now, pressure stress strain
[given, and ]
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Question Text | The pressure that has to be applied to the ends of a steel wire of length to keep its length constant when its temperature is raised by is (For steel, Young's modulus is and coefficient of thermal expansion is ) (a) (b) (c) (d) |
Updated On | Jan 17, 2023 |
Topic | Mechanical Properties of Solids |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 1 |
Upvotes | 115 |
Avg. Video Duration | 1 min |