JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
Two rods \(A\) and \(B\) of identical dimensions are at temperature \(30\,^oC\). If a heated upto \(180\,^oC\) and \(B\) upto \(T\,^oC\), then the new lengths are the same. If the ratio of the coefficients of linear expansion of \(A\) and \(B\) is \(4:3\), then the value of \(T\) is........\(^oC\)
- A \(230\)
- B \(270\)
- C \(200\)
- D \(250\)
Answer & Solution
Correct Answer
(A) \(230\)
Step-by-step Solution
Detailed explanation
\(\Delta {\ell _1} = \Delta {\ell _2}\) \(\ell {\alpha _1}\Delta {T_1} = \ell {\alpha _2}\Delta {T_2}\) \(\frac{{\alpha { _1}}}{{{\alpha _2}}} = \frac{{\Delta {T_1}}}{{\Delta {T_2}}}\,\,;\,\,\frac{4}{3} = \frac{{T - 30}}{{180 - 30}}\) \(T = {203^ \circ }C\)
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