MHT CET202120 Sep 2021Morning ShiftMathematicsDifferential EquationsActual
A differential equation for the temperature ' T ' of a hot body as a function of time, when it is placed in a both which is held at a constant temperature of 32^ F , is given by (where k is a constant of proportionality)
Options
- AdT dt = kT -32
- BdT dt = kT +32
- CdT dt = k ( T -32)
- DdT dt =32 kT
Correct answer
C. dT dt = k ( T -32)
Step-by-step solution
The temperature T of the body will decrease with time. The body is kept in a bath of temperature 32^ F . aligned & dT dt -( T -32) & dT dt =- k ( T -32) aligned