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A body is cooled in 2 min n a room at te...

A body is cooled in 2 min n a room at temperature of `30^@C` from `75^@C` to `65^@C`. If the same body I s cooled from `55^@C` to `45^@C` in the same room, find the time taken (in minute).

Text Solution

Verified by Experts

From `((theta_1-theta_2))/(t)=alpha((theta_1+theta_2)/(2)-theta_0)`, in the first case we have,
`(75-65)/(2)=alpha[(75+65)/(2)-30]` ..(i)
For the second case,
`(55-45)/(t)=alpha[(55+45)/(2)-30]` ..(ii)
Divide Eq. (i) by Eq. (ii), `(t)/(2)=2`
`impliest=4min`
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