A substance cools from `75^@C` to` 70^@C` in `T_1` minute, from `70^@C` to `65^@C` in `T_2` minute and from `65^@C` to `60^@C` in `T_3` minute, then.

Options

A. `T_(1) = T_(2) =T_(3)`
B. `T_(1) gtT_(2) gtT_(3)`
C. `T_(1) lt T_(2) lt T_(3)`
D. `T_(1) gt T_(2) lt T_(3)`

Answer

C

Explanation

According to Newton's law of cooling the rate of cooling depends upon the different of temperature between the body and the surrounding. It means that when the difference of temperature between the body and the surounding is small, time required for same fall in temperature is more in comparison with the same fall at higher temperature difference between ht ebody and surrounding So according to problem `T_(1) lt T_(2) lt T_(3)`.