A. `200^(@)W`
B. `139^(@)W`
C. `78^(@)W`
D. `117^(@)W`
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In general, whenever we are to go from any known scale to any unknow scale, then we follow the equation
`=((“Temperature on one scale”)-(“LFP for known scale”))/((UFP-LFP)_(“known”))`
`=((“Temperature on other scale”)-(“LFP for unknown scale”))/((UFP-LFP)_(“unknown”))`
`rArr ” “(39-0)/(100-0)=(t-39)/(239-39)rArrt=117^(@)W`
Correct Answer – D
`(X-LFP)/(UFP-LFP)=` constant
where, X = Any given temperature on that scale LFP = Lower fixed point (Freezing point)
UFP = Upper fixed poing (Boiling point)
`(W-39)/(239-39)=(39-0)/(100-0) rArr(W-39)/(200)=(39)/(100)`
`rArr ” “W=78+39 rArrW=117^(@)W`
Correct Answer – D
`(C)/(100)=(W-39)/(239-39)`
`(39)/(100)=(W-39)/(200)`
`W=117`