Question:
Two bars ot copper having same length but unequal diameter are heated to the same temperature. The change in length will be
Two bars ot copper having same length but unequal diameter are heated to the same temperature. The change in length will be
Updated On: Jan 14, 2024
- more in thinner bar
- more in thicker bar
- same for both the bars
- determined by the ratio of length and diameter of the bars
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The Correct Option is C
Solution and Explanation
$\Delta l=l \alpha \Delta \theta$
$\Delta \theta=$ change in temperature
$\Delta \theta=$ same for both bars
$\therefore \Delta l=$ same $\alpha=$ same
$\stackrel{h}{\rightarrow}$ Iemperature coefficient
$\Delta l$ does not depend on $l=$ same length
thickness of the rods
$\therefore \Delta l=$ same also
Al will be same
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Concepts Used:
Thermal Expansion
Thermal expansion is the tendency of matter to change its shape, area, and volume in response to a change in temperature. Temperature is a monotonic function of the average molecular kinetic energy of a substance.
The expansion of the solid material is taken to be the linear expansion coefficient, as the expansion takes place in terms of height, thickness and length. The gaseous and liquid expansion takes the volume expansion coefficient. Normally, if the material is fluid, we can explain the changes in terms of volume change.
The bonding force among the molecules and atoms differs from material to material. These characteristics of the compounds and elements are known as the expansion coefficient.
