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JEEE MIANS 2024
25.01.23 S1
Question
A Carnot engine with efficiency 50% takes heat from a source at 600 K. In order to increase the efficiency to 70%, keeping the temperature of sink same, the new temperature of the source will be :
Select the correct option:
A
360 K
B
1000 K
C
900 K
D
300 K
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Sol. $$ \begin{array}{ll} \text { But } & \eta=1-\frac{T_2}{T_1} \\ \therefore & \frac{1}{2}=1-\frac{T_2}{600} \\ \Rightarrow & \frac{T_2}{600}=\frac{1}{2} \quad \Rightarrow T_2=300 \mathrm{k} \end{array} $$ Now efficiency is increased to $70 \%$ and $\mathrm{T}_2=300$ K , Let temp of source $\mathrm{T}_1=\mathrm{T}$ $$ \begin{array}{ll} \Rightarrow & \frac{7}{10}=1-\frac{300}{T} \\ \Rightarrow & \frac{300}{T}=1-\frac{7}{10} \\ \Rightarrow & \frac{300}{T}=\frac{3}{10} \\ \therefore & T=1000 \mathrm{~K} \end{array} $$
Question Tags
JEE Main
Physics
Medium
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