At what temperature do the Celsius and F...

At what temperature do the Celsius and Fahrenheit readings have the same numerical value ?

273

`-273`

`-40`

Text Solution

Verified by Experts

The correct Answer is:

Let T be the same numerical value of temperature on celsius scale and Fahrenheit scale. Then using the relation.
`(.^(@)C)/(100) = (.^(@)F - 32)/(180)`
According to question
`.^(@)C = .^(@)F = T`
`:. (T)/(100) = (T - 32)/(180)`
`:. T = -40 .^(@)C = - 40^(@)F`

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At what temperature the Celsius and Fahrement readings have the same numerical value?

`-35^(@)`

`-40^(@)`

`-45^(@)`

`-30^(@)`

Celsius and Fahrenheit scales give the same reading at

`1^(@)C`

`32^(@)F`

`-40^(@)C`

`40^@ C`

At what temperature do the Fahrenheit and Celsius scales give the same reading?

`-40^@`

`0^@`

`574.25^@`

`273^@`