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Question

On heating a rod, its length increases. On what factors does the increase in the length depend on?

A
The material of the rod
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B
The initial length of the rod
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C
The rise in the rod's temperature
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D
The cross sectional area of the rod
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Solution

The correct options are
A The material of the rod
B The initial length of the rod
C The rise in the rod's temperature
The increase in the length of a solid object depends on:
  • How much the temperature is increased? The more the rise in temperature, the more the linear expansion.
  • The initial dimensions (length) of the rod
  • The material of the rod
Each material has its own way of expanding due to heat. This is given by a parameter called the coefficient of linear thermal expansion. The relation is given by:
lTl0=l0αΔT, where l0 is the initial length of the object, lT is the final length of the object, ΔT is the rise in the temperature, and α is the coefficient of linear thermal expansion of the material of the object.

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