Atomic Structure

Step 1: Using the de-Broglie wavelength formula.
The de-Broglie wavelength of a moving particle is given by the equation: where is Planck's constant, is the mass of the particle, and is the speed of the particle.
Step 2: Substituting known values.
For an electron, the mass , and the speed . Planck's constant . Substituting these values into the formula: Step 3: Conclusion.
Thus, the de-Broglie wavelength of the electron is approximately .

Step 1: Bohr’s model of the hydrogen atom.
In the Bohr model, the hydrogen atom consists of a nucleus (proton) and an electron orbiting it in discrete energy levels or orbits. The energy of the electron in a given orbit is quantized, and the lowest orbit corresponds to the lowest possible energy.
Step 2: Lowest energy level.
The lowest orbit, also known as the ground state, corresponds to the minimum energy, where the electron is closest to the nucleus and has the least energy.
Step 3: Conclusion.
Thus, the lowest orbit in the Bohr model corresponds to the minimum energy, corresponding to option (B).