During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is 2000 and it becomes 6000 when the electron jumps from state B to state C. Then the wavelength of the radiation emitted during the transition of electrons from state A to state B is (a) 4000 (b) 6000 (c) 2000 (d) 3000

Answer: (d). Energies add: EAC = EAB + EBC, so 1λAC = 1λAB + 1λBC. 1λAB = 1/2000 - 1/6000 = 2/6000 λAB = 3000 So the answer is (d) 3000.

During the transition of electron from state A to state C of a Bohr… | JEE Main 2025 (24 Jan, Shift 1)

Q12JEE Main 2025 · 24 JAN · SHIFT 1Medium

Energy of the Electron & Energy Levels

During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is $2000\ \text{\AA}$ and it becomes $6000\ \text{\AA}$ when the electron jumps from state B to state C. Then the wavelength of the radiation emitted during the transition of electrons from state A to state B is

Show answer and solution

Answer: (d)

Energies add: $E_{AC} = E_{AB} + E_{BC}$ , so $\frac{1}{\lambda_{AC}} = \frac{1}{\lambda_{AB}} + \frac{1}{\lambda_{BC}}$ .
$\frac{1}{\lambda_{AB}} = \frac{1}{2000} - \frac{1}{6000} = \frac{2}{6000}$
$\lambda_{AB} = 3000\ \text{\AA}$
So the answer is (d) $3000\ \text{\AA}$ .

Report a mistake

Energy of the Electron & Energy Levels question from JEE Main 2025 (24 Jan, Shift 1)

More questions on Energy of the Electron & Energy Levels