A) \[{{45}^{o}}C\]
B) \[{{60}^{o}}C\]
C) \[{{30}^{o}}C\]
D) \[{{20}^{o}}C\]
Correct Answer: B
Solution :
Let the temperature of junction be q. Since roads B and C are parallel to each other (because both having the same temperature difference). Hence given figure can be redrawn as follows Q \[\frac{Q}{t}=\frac{({{\theta }_{1}}-{{\theta }_{2}})}{R}\] and \[{{\left( \frac{Q}{t} \right)}_{AB}}={{\left( \frac{Q}{t} \right)}_{BC}}\] Þ \[\frac{(90-\theta )}{R/2}=\frac{(\theta -0)}{R}\] Þ \[180-2\theta =\theta \] Þ\[\theta =60{}^\circ C\]You need to login to perform this action.
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