Question

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
\(f=\frac{(E_2−E_1)}{h}\) This condition is Bohr’s frequency condition.
In the light of the above statements, choose the correct answer from the options given below:

• 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
• D. Statement I is incorrect but statement II is true

Answer 1

The Correct Option is D

To solve this problem, let's examine each statement related to the behavior of electrons in a hydrogen atom:

Statement I:

Statement I claims: "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."

This statement talks about an electron jumping from a lower energy state to a higher energy state. By the laws of physics, when an electron moves to a higher energy state, it absorbs energy instead of emitting it. The frequency corresponding to emitted or absorbed radiation is related to the energy difference in levels by the equation:

hf = |E_2 - E_1|.

However, the statement incorrectly suggests that energy is emitted in this scenario, which is incorrect as energy would be absorbed instead.

Statement II:

Statement II states: "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=\frac{(E_2−E_1)}{h}. This condition is Bohr’s frequency condition."

This correctly describes Bohr's model where an electron emits radiation when moving from a higher to a lower energy level. The energy difference is emitted as radiation, and the frequency of this radiation is given by the formula:

hf = E_2 - E_1, which implies f = \frac{E_2 - E_1}{h}

Thus, statement II correctly aligns with Bohr's frequency condition and is true.

Conclusion:

Based on the above analysis:

• Statement I is incorrect because it misrepresents the process involving energy absorption rather than emission.
• Statement II is correct as it properly describes the emission process and frequency calculation from Bohr's model.

Therefore, the answer is: Statement I is incorrect but statement II is true.