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

Options

A. `99^(@)C`
B. `124^(@)C`
C. `37^(@)C`
D. `62^(@)C`

Answer

A

Explanation

`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))`