# The rate of cooling of a solid body is directly proportional to- (T is the temperature of the solid body, T0 is the temperature of the surrounding).

1. (T - T0)
2. T
3. T0
4. (T-T)

## Answer (Detailed Solution Below)

Option 1 : (T - T0)

## Detailed Solution

CONCEPT:

• Newton's Law of Cooling: It states that the rate of cooling or rate of loss of heat is directly proportional to the difference in temperature of the body and temperature of the surrounding medium, Nature, and extent of the exposed surface.

Rate of cooling of a solid body:

$$\frac{dQ}{dT} \propto (T - T_0)$$

Where T is the temperature of the solid body, T0  is the temperature of the surrounding

EXPLANATION

• According to Newton's Law of Cooling:

Rate of loss of heat ∝ Temperature difference between the body and surrounding,

Rate of loss of heat ∝ (T - T0)
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