A charge \( Q \) is distributed over two concentric hollow spheres of radii \( r \) and \( R \) (\( R>r \)) such that their surface charge densities are equal. Find the electric potential at their common center.
Prove Mayer's relation: \( C_p - C_v = \frac{R}{J} \)
A current of \(6A\) enters one corner \(P\) of an equilateral triangle \(PQR\) having three wires of resistance \(2 \Omega\) each and leaves by the corner \(R\) as shown in figure. Then the currents \(I_1\) and \(I_2\) are respectively
The value of shunt resistance that allows only 10% of the main current through the galvanometer of resistance \( 99 \Omega \) is:
Find out the angle of refraction in a medium of refractive index \(\sqrt{3}\), when the angle of incidence is \(60^\circ\).
In hydrogen atom, what is the ionization potential of the electron in the ground state?