Question:medium

Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C), and (D) as given below.
Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) as given below.
Assertion (A): The Balmer series in the hydrogen atom spectrum is formed when the electron jumps from a higher energy state to the ground state.
Reason (R): In Bohr's model of the hydrogen atom, the electron can jump between successive orbits only.

Show Hint

In the Bohr model of the hydrogen atom, the electron can jump between any two orbits, and the Balmer series corresponds to transitions where the final state is \( n = 2 \), not the ground state \( n = 1 \).
  • Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
  • Assertion (A) is true, but Reason (R) is false.
  • Both Assertion (A) and Reason (R) are false.
Show Solution

The Correct Option is D

Solution and Explanation

- Assertion (A): The Balmer series in the hydrogen atom spectrum occurs when an electron transitions from a higher energy state to the \( n = 2 \) energy level. The series is defined by the final state being \( n = 2 \), not \( n = 1 \) (which corresponds to the Lyman series). Thus, Assertion (A) is false.
- Reason (R): Bohr's model allows electrons in a hydrogen atom to transition between any two allowed energy levels, not exclusively successive ones. Such transitions are possible if the energy difference between the initial and final orbits corresponds to the energy of the absorbed or emitted photon. Therefore, Reason (R) is also false.

Conclusion: Both Assertion (A) and Reason (R) are false. The correct option is (D).
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