A bucket full of hot water is kept in a room and it cools from 75°C to 70°C in T1 minutes, from 70°C to 65°C in `T_2` minutes and from 65°C to 60°C in `T_3` minutes. Then –

Options

A. `t_(1) = t_(2) = t_(3)`
B. `t_(1) lt_(2) gt _(3)`
C. `t_(1) gt_(2) gt _(3)`
D. `t_(1) lt_(2) lt _(3)`

Answer

D

Explanation

According to Newton.s law of cooling, rate of cooling `prop` temperature difference between the liquid and surroundings. As temperature difference decreases gradually, time taken for cooling increases i.e, `t_(3) gt t_(2) gt t_(1) or t_(1) lt t_(2) lt t_(3)`