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A body is heated to a temperature of 75^...

A body is heated to a temperature of `75^(@)C` and is allowed to cool. If the temperature of the surrounding is `35^(@)C`, then the temperature at which the rate of cooling will be exactly half of that initially will be

A

`37.5^(@)C`

B

`50^(@)C`

C

`55^(@)C`

D

`30^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
Let x be the temperature, then
`1/2=(x-35)/(75-35)=(x-35)/40`
`thereforex-35=20" "thereforex=55^(@)C`
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