An ideal heat engine working between temperature T_1 and T_2 has … - Vidyadip

MCQ

An ideal heat engine working between temperature $T_1$ and $T_2 $ has an efficiency $\eta$, the new efficiency if both the source and sink temperature are doubled, will be

A
$\frac{\eta }{2}$
✓
$\eta $
C
$2\eta $
D
$3\eta $

✓

Answer

Correct option: B.

$\eta $

b
(b) In first case ${\eta _1} = \frac{{{T_1} - {T_2}}}{{{T_1}}}$
In second case ${\eta _2} = \frac{{2{T_1} - 2{T_2}}}{{2{T_1}}}$$ = \frac{{{T_1} - {T_2}}}{{{T_1}}} = \eta $

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