Practice portal › Atoms › Bohr Model of the Hydrogen Atom
Given below are two statements:
Statement I: In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit (E₁) to higher energy orbit (E₂), is given as hf=E₁-E₂.
Statement II: The jumping of electron from higher energy orbit (E₂) to lower energy orbit (E₁) is associated with frequency of radiation given as f=(E₂-E₁)/h. This condition is Bohr's frequency condition.
In the light of the above statements, choose the correct answer from the options given below:
Asked in JEE Main 27th June 2nd Shift 2022 · Postulates, radius, speed and angular momentum
- (1) Both statement I and statement II are true.
- (2) Both statement I and statement II are false.
- (3) Statement I is correct but statement II is false.
- (4) Statement I is incorrect but statement II is true.
Answer: (4) Statement I is incorrect but statement II is true.
Step-by-step solution
A jump to a higher orbit needs absorption, and E₁-E₂ is negative: Statement I false.
Emission on falling from E₂ to E₁ with hf=E₂-E₁ is Bohr's frequency condition: Statement II true.
Why the other options are wrong
- (1) Misses that a jump upward absorbs, not emits, radiation.
- (2) Rejects Bohr's frequency condition.
- (3) Swaps the two statements.
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