| Temperature difference of \[120{}^\circ C\] is maintained between two ends of a uniform rod AB of length 2 L. Another bent rod PQ, of same cross section as AB and length 3L/2, is connected across AB (See figure). In steady state, temperature difference between P and Q will be close to: |
 |
A) \[60\,{}^\circ \text{C}\]
B) \[75\,{}^\circ \text{C}\]
C) \[35\,{}^\circ \text{C}\]
D) \[45\,{}^\circ \text{C}\]
Correct Answer: D
Solution :
 |
| \[\frac{\Delta \text{T}}{{{\text{R}}_{eq}}}\,=\,\text{I}\,\frac{{{(120)}^{5}}}{8\text{R}}\,=\,\frac{120\times 5}{8\text{R}}\] |
| \[\Delta {{T}_{PQ}}\,=\,\frac{120\times 5}{8R}\times \,\frac{3}{5}R\,=\,\frac{360}{8}\,45{}^\circ \,C.\] |
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