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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. Tangent are drawn to the curve at the points `P(theta= theta_(2))` and `Q(theta = theta_(1))`. These tangents meet the time axis at angles of `phi_(2)` and `phi_(1)` as shown , then :-

A

`(tanphi_(2))/(tanphi_(1))=(theta_(1)-theta_(0))/(theta_(2)-theta_(0))`

B

`(tanphi_(2))/(tanphi_(1))=(theta_(2)-theta_(0))/(theta_(1)-theta_(0))`

C

`(tanphi_(1))/(tanphi_(2))=(theta_(1))/(theta_(2))`

D

`(tanphi_(1))/(tanphi_(2))=(theta_(2))/(theta_(1))`

Text Solution

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The correct Answer is:
B
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