The radius of first orbit in hydrogen atom is \(5.3 \times 10^{-11}\) m. The kinetic energy \(E_K\), potential energy \(E_P\) and total energy \(E_T\) of electron in first orbit are

The total energy of an electron in the first orbit of a hydrogen atom is known to be \(E_T = -13.6 \text{ eV}\).

The relationship between kinetic energy \(E_K\), potential energy \(E_P\), and total energy \(E_T\) for an electron in a hydrogen atom is given by:
\(E_K = -E_T\)
\(E_P = 2E_T\)

Substituting the value of \(E_T\) into these relations:
\(E_K = -(-13.6 \text{ eV}) = 13.6 \text{ eV}\)
\(E_P = 2(-13.6 \text{ eV}) = -27.2 \text{ eV}\)

Thus, the energies are \(E_K = 13.6 \text{ eV}\), \(E_P = -27.2 \text{ eV}\), and \(E_T = -13.6 \text{ eV}\).

Answer: \(E_K = 13.6\text{ eV}, E_P = -27.2\text{ eV}, E_T = -13.6\text{ eV}\)