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Consider a reversible engine of efficien...

Consider a reversible engine of efficiency `1/6`. When the temperature of the sink is reduced by 62 °C. its efficiency gets doubled. The temperature of the source and sink respectively are

A

`99^(@)C,37^(@)C`

B

`37^(@)C,99^(@)C`

C

`62^(@)C124^(@)C`

D

`124^(@)C,62^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
`1/6=1-(T_(2))/(T_(1))implies(T_(2))/(T_(1))=5/6`…….1
`=1/3=1-((T_(2)-62))/(T_(1))implies((T_(2)-62)/(T_(1)))=2/3`…….2
From 1 and 2
`1/6=62/(T_(1))impliesT_(1)=372k` or `99^(@)C`
`T_(2)=5/6xx372=5xx62=310K` or `37^(@)C`
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