Keshav observed that the increase in the temperature of a body is given by T_(1) = 2t^(2) for the first 5 minutes and T_(2) = 3t for the next 5 minutes, where T_(1), T_(2) and 't' are temperatures in Fahrenheit, Celsius scales and time in minutes, respectively. If the initial temperature of the body is 20^(@)F and the relation between the Celsius and Fahrenheit scale is, then find the temperature of the body after 8 minutes in Celsius scale.

Keshav observed that the increase in the temperature of a body is give

1.	Keshav observed that the increase in the temperature of a body is given by T_(1) = 2t^(2) for the first 5 minutes and T_(2) = 3t for the next 5 minutes, where T_(1), T_(2) and 't' are temperatures in Fahrenheit, Celsius scales and time in minutes, respectively. If the initial temperature of the body is 20^(@)F and the relation between the Celsius and Fahrenheit scale is, then find the temperature of the body after 8 minutes in Celsius scale.
Answer» Solution :For 1ST 5 minutes `T_(1) = 2t^(2)` `2xx25` `= 50^(@)F` Initial TEMPERATURE = `20^(@)F` After 5 min = `20^(@) + 50^(@) = 70^(@)F` `(C)/(5) = (F-32)/(9)` `C = (70-32)/(9) xx 5` `=21^(@)C` Increase in temperature after next 3 minutes `T_(2) = 3t` `= 3 xx 3` `T_(2) = 9` implies Increase in temperature is `9^(@)C` Temperature after 8 minutes = 21 + 9 `=30^(@)C`