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: lT−l0=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.