Explain why the temperature rise of a body is inversely proportional to its mass for the same heat energy input ?

ΔT ∝

Explanation:

We know that, the heat input to a body is given as:

Where,

Specific heat capacity of a body depends on its material and thus is constant for a given body.

Rewriting the above equation in terms of , we get:

Now, as per given question, the heat supply to the given body is a constant.

Therefore, replacing the constant quantities by a constant 'K', we get:

So, rise in temperature is a function of the mass only and varies inversely with the mass.

⇒ ΔT ∝

Therefore, the temperature rise of a body is INVERSELY PROPORTIONAL to its mass for the same heat energy input.