Properties of Matter 1 Question 7
7. A rod of length at room temperature and uniform area of cross-section , is made of a metal having coefficient of linear expansion . It is observed that an external compressive force , is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by . Young’s modulus, for this metal is
(a)
(b)
(c)
(d)
(2019 Main, 9 Jan I)
Show Answer
Answer:
Correct Answer: 7. (a)
Solution:
- If a rod of length
and coefficient of linear expansion , then with the rise in temperature by , its change in length is given as,
Also, when a rod is subjected to some compressive force
Since, it is given that the length of the rod does not change. So, from Eqs. (i) and (ii), we get