Given below are two statements:
Statement I: According to Bohr's model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised.
Statement II : The concept of electron in Bohr's orbit, violates the Heisenberg uncertainty principle. In the light of the above statements, choose the most appropriate answer from the options given below:
Statement I: According to Bohr's model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised.
Statement II : The concept of electron in Bohr's orbit, violates the Heisenberg uncertainty principle. In the light of the above statements, choose the most appropriate answer from the options given below:
- (A)Both Statement I and Statement II are correct.✓ Correct
- (B)Statement I is correct but Statement II is incorrect.
- (C)Statement I is incorrect but Statement II is correct
- (D)Both Statement I and Statement II are incorrect.
Answer: (A)
Solution
Bohr postulated that an electron may occupy only those orbits in which its angular momentum is an integral multiple of , so the angular momentum in a stationary state is quantised and Statement I is correct. The same model fixes the electron in a sharply defined circular orbit with a definite radius and a definite velocity at the same instant, which demands simultaneous exact knowledge of position and momentum and so contradicts the Heisenberg uncertainty principle; Statement II is therefore also correct. Both statements are correct.
JEE Main · 2023 · 15 Apr 2023 · Shift 1 · Single correct option