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A body cools in a surrounding which is at a constant temperature of \( \theta_{0} \). Assume that it obeys Newton's law of
\( \mathrm{P} \) cooling. Its temperature \( \theta \) is plotted against time \( t \). Tangents

W are drawn to the curve at the points \( P\left(\theta=\theta_{2}\right) \) and \( Q\left(\theta=\theta_{1}\right) \). These tangents meet the time axis at angles of \( \phi_{2} \) and \( \phi_{1} \), as shown
(a) \( \frac{\tan \phi_{2}}{\tan \phi_{1}}=\frac{\theta_{1}-\theta_{0}}{\theta_{2}-\theta_{0}} \)
(b) \( \frac{\tan \phi_{2}}{\tan \phi_{1}}=\frac{\theta_{2}-\theta_{0}}{\theta_{1}-\theta_{0}} \)
(c) \( \frac{\tan \phi_{1}}{\tan \phi_{2}}=\frac{\theta_{1}}{\theta_{2}} \)
(d) \( \frac{\tan \phi_{1}}{\tan \phi_{2}}=\frac{\theta_{2}}{\theta_{1}} \)
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