Heat and Thermal ExpansionMedium

Question

A body cools in a surrounding which at a constant temperature of θ0 Assume that it obeys Newton′s law of cooling. Its temperature θ is plotted against time t. Tangent are drawn to the curve at the points P (θ - θ2) and Q (θ - θ2). These tangents meet the time axis at angles of φ1 and φ2 as shown, then :-

Options

A.
B.
C.
D.

Solution

Newton’s low of cooling implies that rate of cooling is proportional ti temperature difference if the temperature difference between body and surrounding is small.
Then
= tan φ2α (θ2 - θ0) and
= tan φ1α (θ1 - θ0) ⇒

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