A metal rod measures $100\text{ cm}$ at $20^\circ\text{C}$. When heated to $80^\circ\text{C}$, its length…

A metal rod measures $100\text{ cm}$ at $20^\circ\text{C}$. When heated to $80^\circ\text{C}$, its length increases to $100.2\text{ cm}$. What will its length be when cooled back to $20^\circ\text{C}$?
  1. $100.2\text{ cm}$
  2. $100\text{ cm}$
  3. $99.8\text{ cm}$
  4. $100.4\text{ cm}$

Solution

Thermal expansion contracts back reversibly when cooled; returning to the original temperature restores the original length of $100\text{ cm}$.

Asked in: Homi Bhabha Practice

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