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A body at a temperature of 50^(@)C cools...

A body at a temperature of `50^(@)C `cools to `49^(@)C` in time `Deltat` when it is placed in a room maintained at `- 3^(@)C`. The same body cools from `50^(@)C` to `49^(@)C` in time `Deltat'` when placed in a room that is maintained at `24^(@)C`. Find `Deltat'` in terms of `Deltat`. Assume heat loss through radiation only and the specific heat capacity of the body remains constant with change in temperature.

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The correct Answer is:
`1.55Deltat`
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