Example 4 If the speed of electron in the first orbit of a hydrogen atom is 2cdot 10^6m/s then according to Bohr's postulate , find the radius of this orbit (pm)

To find the radius of the first orbit of a hydrogen atom according to Bohr's postulate, we can use the formula: where:- is the radius of the orbit,- is the principal quantum number (for the first orbit, ),- is the Planck constant ( ),- is the mass of the electron ( ),- is the speed of the electron in the orbit ( ).Substituting the given values into the formula: To convert this to picometers (pm), we multiply by : Therefore, the radius of the first orbit of a hydrogen atom according to Bohr's postulate is approximately 578 pm.