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]
Hrishant Goswami , 11 Years ago
Grade 10
