If a piece of metal is heated to temperature `theta` and then allowed to cool in a room which is at temperature `theta_(0)` the graph between the temperature T of the metal and time t will be closest to :

Options

A.
B.
C.
D.

Answer

C

Explanation

By Newton's Law of cooling `T = T_(S) + (T_(H) - T_(S))e^(-kt)`
`T_(S) rarr` Temperature of surrounding
`T_(H) rarr` Temperature of body at t = 0
`K rarr` constant
`T rarr` Temperature of body at time t