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A body with an initial temperature theta...

A body with an initial temperature `theta_(1)` is allowed to cool in a surrounding which is at a constant temperature of `theta_(0) (theta lt theta_(1))` Assume that Newton's law of cooling is obeyed Let `k =` constant The temperature of the body after time t is best experssed by .

A

`(theta_(i) - theta_(0)) e^(-kt)`

B

`(theta_(i) - theta_(0))` 1n `(k t)`

C

`theta_(0) + (theta_(i) - theta_(0)) e^(-kt)`

D

`theta_(i) e^(-k) - theta_(0)`

Text Solution

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The correct Answer is:
C
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