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An engine has an efficiency of 1/6. When...

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

A

`99^@ C, 37^@ C`

B

`37^@ C, 99^@ C`

C

`62^@C, 124^@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)" ""…………"(A)`
`(1)/(3)=1-((T_2-62))/(T_1) implies ((T_2-62)/(T_1))= (2)/(3)" ""……………."(B)`
From (A) and (B)
`(1)/(6)= (62)/(T_1) implies T_1=372K" or "99^(@)C" "T_2= (5)/(6)xx372= 5xx62= 310K " or "37^(@)C`.
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