What must be the lengths of steel and copper rods at $0^o C$ for the difference in their lengths to be $10\,cm$ at any common temperature? $(\alpha_{steel}=1.2 \times {10^{-5}} \;^o C^{-1})$ and $(\alpha_{copper} = 1.8 \times 10^{-5} \;^o C^{-1})$
What must be the lengths of steel and copper rods at $0^o C$ for the difference in their lengths to be $10\,cm$ at any common temperature? $(\alpha_{steel}=1.2 \times {10^{-5}} \;^o C^{-1})$ and $(\alpha_{copper} = 1.8 \times 10^{-5} \;^o C^{-1})$
- A
$30\, cm$ for steel and $20\,cm$ for copper
- B
$20\,cm$ for steel and $30\,cm$ for copper
- C
$40\,cm$ for steel and $30\,cm$ for copper
- D
$30\,cm$ for steel and $40\,cm$ for copper
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- [AIPMT 2015]
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