Which metallic ball will penetrate into greatest depth.

As we know that, 

Q = msdt 

Here mass and temperature are fixed. 

So, Q ∝ S 

Now the specific heat capacity of the metal B is larger than A AND c . 

This means that the heat lost by B is much more than the other metals and metal B can go deep inside the wax slab. 

The law of heat conduction, also known as Fourier's law, states that the rate of heat transfer through a material is proportional to the negative gradient in the temperature and to the area, at right angles to that gradient, through which the heat flows.The temperature difference is the driving force for heat transfer, just as the voltage difference is the driving force for electric current flow and pressure difference is the driving force for fluid flow.Various heat transfer mechanisms exist, including convection, conduction, thermal radiation, and evaporative cooling.

The first is conduction, which occurs in solids or fluids that are at rest, such as this metal bar. The second form of heat transfer is convection, which occurs in liquids or gases that are in motion. And the third form of heat transfer is radiation, which takes place with no material carrier.Unlike conduction and convection, radiation does not need matter to transfer heat. Energy is radiated from the sun, through the vacuum of space at the speed of light. When this energy arrives at Earth, some of it is transferred to the gases in our atmosphere.