Given below are two statements: Statement I: In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit ( $\mathrm{E}_{1}$ ) to higher energy orbit ( $\mathrm{E}_{2}$ ), is given as $\mathrm{hf}=\mathrm{E}_{1}-\mathrm{E}_{2}$. Statement-II : The jumping of electron from higher energy orbit ( $\mathrm{E}_{2}$ ) to lower energy orbit ( $\mathrm{E}_{1}$ ) is associated with frequency of radiation given as f $=\left(\mathrm{E}_{2}-\mathrm{E}_{1}\right) / \mathrm{h}$ This condition is Bohr's frequency condition. In the light of the above statements, choose the correct answer from the options given below:

(A) Both statement I and statement II are true.

(B) Both statement I and statement II are false

(C) Statement I is correct but statement II is false

JEE Main · 2022 · 27 Jun 2022 · Shift 2 · Modern Physics

Given below are two statements:

Statement I: In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit (

E_{1}

) to higher energy orbit (

E_{2}

), is given as

hf = E_{1} - E_{2}

.

Statement-II : The jumping of electron from higher energy orbit (

E_{2}

) to lower energy orbit (

E_{1}

) is associated with frequency of radiation given as f

= (E_{2} - E_{1}) / h

This condition is Bohr's frequency condition.
In the light of the above statements, choose the correct answer from the options given below:

Answer: (D)

Statement I is incorrect: When an electron jumps from a lower energy level (

E_{1}

) to a higher energy level (

E_{2}

), energy is absorbed, not emitted. The energy absorbed is

E_{2} - E_{1}

(positive), not

E_{1} - E_{2}

.

Statement II is correct: When an electron jumps from a higher energy level (

E_{2}

) to a lower energy level (

E_{1}

), a photon is emitted with energy:

E_{photon} = E_{2} - E_{1} = h f

Therefore:

f = \frac{E _{2} - E _{1}}{h}

This is Bohr's frequency condition for emission.

Therefore, Statement I is incorrect but Statement II is true.

JEE Main · 2022 · 27 Jun 2022 · Shift 2 · Single correct option