A hollow conducting sphere of radius \(1~\text{m}\) is given a positive charge of \(10~\mu\text{C}\). The electric field at the centre of the hollow sphere will be:
1. \(60\times10^{3}~\text{Vm}^{-1}\)
2. \(90\times10^{3}~\text{Vm}^{-1}\)
3. zero
4. infinite

If a charge \(Q\) is situated at the corner of a cube, the electric flux passing through all six faces of the cube is:

If a charge Q µC is placed at the centre of the cube, the flux (In SI unit) coming out from any surface will be: 

1.  $\frac{Q}{6{\epsilon }_0}$ $\times$ ${10}^{-6}$

2.  $\frac{Q}{6{\epsilon }_0}$ $\times$ ${10}^{-3}$

3.  $\frac{Q}{2{\epsilon }_0}$ $$

4. $\frac{Q}{8{\epsilon }_0}$ $$

A charge q is located at the centre of a cube. The electric flux through any face is:

1. $\frac{2\mathrm{\pi q}}{6\left(4{\mathrm{\pi \epsilon }}_0\right)}$

2. $\frac{4\mathrm{\pi q}}{6\left(4{\mathrm{\pi \epsilon }}_0\right)}$

3. $\frac{\mathrm{\pi q}}{6\left(4{\mathrm{\pi \epsilon }}_0\right)}$

4. $\frac{\mathrm{q}}{6\left(4{\mathrm{\pi \epsilon }}_0\right)}$