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At what temperature do the Celsius and F...

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

A

273

B

`-273`

C

`-40`

D

40

Text Solution

Verified by Experts

The correct Answer is:
C
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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