Question

Two objects are made of the same material, but they have different masses and temperatures.

Answer 1

Answer:

a. The one with the lesser mass.

Explanation:

Since , both are made of the same material , they will have same specific heat . On physical contact , heat will be exchanged between them with heat flowing from body at higher temperature to one at lower temperature . Amount of heat lost by one will be equal to amount of heat gained .

So temperature change will take place in both of them  but they will not be same . Body of higher mass will undergo lesser change in temperature because of the following relation

Q = mcΔT

ΔT = Q / mc

ΔT   ∝   1 / m

change in temperature will be inversely proportional to mass of object if Q or heat exchanged is constant .

Answer 2

Answer:

f. Not enough information

Explanation:

Since, we know from the equation of heat transfer by a mass due to temperature difference is given as:

$Q=m.c.\Delta T$

$\Rightarrow \Delta T=\frac{Q}{m.c}$

where;

$m=$ mass of the substance

$c=$ specific heat of the substance

$\Delta T=$ difference between the final and initial temperature

Since the temperature difference depends upon the heat transferred which depends upon initial temperature of the substance and the mass of the substance.

So, it is ambiguous that which mass has the higher temperature the greater mass or the lesser mass.