An air bubble of volume $$1 \mathrm{~cm}^{3}$$ rises from the bottom of a lake $$40 \mathrm{~m}$$ deep to the surface at a temperature of $$12^{\circ} \mathrm{C}$$. The atmospheric pressure is $$1 \times 10^{5} \mathrm{~Pa}$$ the density of water is $$1000 \mathrm{~kg} / \mathrm{m}^{3}$$ and $$\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}$$. There is no difference of the temperature of water at the depth of $$40 \mathrm{~m}$$ and on the surface. The volume of air bubble when it reaches the surface will be:

In a reflecting telescope, a secondary mirror is used to:

Certain galvanometers have a fixed core made of non magnetic metallic material. The function of this metallic material is

Given below are two statements:

Statement I: If $$\mathrm{E}$$ be the total energy of a satellite moving around the earth, then its potential energy will be $$\frac{E}{2}$$.

Statement II: The kinetic energy of a satellite revolving in an orbit is equal to the half the magnitude of total energy $$\mathrm{E}$$.

In the light of the above statements, choose the most appropriate answer from the options given below