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An engine has an efficiency of (1)/(6). ...

An engine has an efficiency of `(1)/(6)`. When the temperature of sink is reduced by `62^(@)C`, its efficiency id doubled. Temperature of the source is

A

`99^(@)C`

B

`124^(@)C`

C

`37^(@)C`

D

`62^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A
`eta=1-(T_(2))/(T_(1))implies (1)/(6)=1-(T_(2))/(T_(1))`
`and (1)/(3)=1-((T_(2)-62))/(T_(1))implies (1)/(3)=1-(T_(2))/(T_(1))+(62)/(T_(1))`
`implies (1)/(3)=(1)/(6)+(62)/(T_(1))=(1)/(6)=(62)/(T_(1))`
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