MHT CET · Physics · Thermal Properties of Matter
Two rods of different materials have lengths ' \(\ell_1\) ' and ' \(\ell_2\) ' whose coefficient of linear expansions are ' \(\alpha_1\) ' and ' \(\alpha_2\) ' respectively. If the difference between the two lengths is independent of temperature then
- A \(\alpha_1^2 \ell_1=\alpha_2^2 \ell_2\)
- B \(\frac{\ell_1}{\ell_2}=\frac{\alpha_2}{\alpha_1}\)
- C \(\frac{\ell_1}{\ell_2}=\frac{\alpha_1}{\alpha_2}\)
- D \(\ell_1^2 \alpha_2=\ell_2^2 \alpha_1\)
Answer & Solution
Correct Answer
(B) \(\frac{\ell_1}{\ell_2}=\frac{\alpha_2}{\alpha_1}\)
Step-by-step Solution
Detailed explanation
\( \ell_1' = \ell_1(1 + \alpha_1 \Delta T) \) \( \ell_2' = \ell_2(1 + \alpha_2 \Delta T) \)
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