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A body obeying Newton's law of cooling cools in a surrounding which is at a constant temperature. Its temperature 'T' is plotted against time. There are two points on the curve with temperatures T1 and T2 (T2 > T1) such that tangents on these points make angles of 2A and A with time axis respectively. Find the surrounding temperature. Options are (a)T1cos2A-T2(1+cos2A) (b)T1(1+cos2A)-T2cos2A (c)(T2-T1)cos2A (d)[2T1+T2{1+(tanA)^2}]/[1-(tanA)^2]


 A body obeying Newton's law of cooling cools in a surrounding which is at a constant temperature. Its temperature 'T' is plotted against time. There are two points on the curve with temperatures T1 and T2 (T2 > T1) such that tangents on these points make angles of 2A and A with time axis respectively. Find the surrounding temperature.

Options are

(a)T1cos2A-T2(1+cos2A)   (b)T1(1+cos2A)-T2cos2A   (c)(T2-T1)cos2A   (d)[2T1+T2{1+(tanA)^2}]/[1-(tanA)^2] 


Grade:10

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