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A Carnot engine operating between temperatures \( T_{1} \) and \( T_{2} \) has efficiency \( \frac{1}{6} \). When \( T_{2} \) is lowered by \( 62 \mathrm{~K} \), its
\( \mathrm{P} \) efficiency increases to \( \frac{1}{3} \). Then \( T_{1} \) and \( T_{2} \) are, respectively

W
[AIEEE 2011]
(a) \( 372 \mathrm{~K} \) and \( 310 \mathrm{~K} \)
(b) \( 372 \mathrm{~K} \) and \( 330 \mathrm{~K} \)
(c) \( 330 \mathrm{~K} \) and \( 268 \mathrm{~K} \)
(d) \( 310 \mathrm{~K} \) and \( 248 \mathrm{~K} \)
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