$100 \ g$ of water is heated from $30^\circ C$ to $50^\circ C$. Ignoring the slight expansion of the water,the change in its internal energy is .......$kJ$ (specific heat of water is $4184 \ J/kg/K$):

Is the specific heat of water and ice the same? Give their values.

Why is water used as a coolant?

What is the value of the specific heat of a solid by using the law of equipartition of energy?

If the ratio of the diameters of two spheres made of the same material is $1:2$,what is the ratio of their heat capacities?

$A$ lead bullet of mass $10 \ g$ travelling at $300 \ m/s$ strikes against a block of wood and comes to rest. Assuming $50\%$ of heat is absorbed by the bullet,the increase in its temperature is (Specific heat of lead $= 150 \ J/kg \cdot ^{\circ}C$) (in $^{\circ}C$)