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A body cools in a surrounding which is a...

A body cools in a surrounding which is at a constant temperature of `theta_(0)` Assume that it obeys Newton's law of cooling Its temperature `theta` is plotted against time t Tangents are drawn to the curve at the points `P (theta =theta_(1))` and `Q(theta =theta_(2))` These tangents meet the time axis at angle of `phi_(2)` and`phi_(1)` as shown
.

A

`(tan phi_(2))/(tan phi_(1)) = ( T_(1) - T_(0))/(T_(2)-T_(0))`

B

`(tan phi_(2))/(tan phi_(1)) = ( T_(2) - T_(0))/(T_(1)-T_(0))`

C

`(tan phi_(1))/(tan phi_(2)) = ( T_(1) )/(T_(2))`

D

`(tan phi_(1))/(tan phi_(2)) = ( T_(2) )/(T_(1))`

Text Solution

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The correct Answer is:
B
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