Question

Assertion : In Bohr model of hydrogen atom, the angular momentum of an electron in \( n \)th orbit is proportional to the square root of its orbit radius \( r_n \). Reason (R): According to Bohr model, electron can jump to its nearest orbits only.

• A. If both Assertion and Reason (R) are true and Reason (R) is the correct explanation of Assertion .
• B. If both Assertion and Reason (R) are true but Reason (R) is not the correct explanation of Assertion .
• C. If Assertion is true but Reason (R) is false.
• D. If both Assertion and Reason (R) are false.

Hint:

In the Bohr model, the electron's angular momentum is quantized and proportional to the radius of the orbit.

Answer 1

The Correct Option is C

Step 1: Analyzing the Assertion. In Bohr's model, the angular momentum of an electron in the \( n \)-th orbit is indeed proportional to the square root of its radius \( r_n \). Thus, Assertion is true.

Step 2: Analyzing the Reason. According to the Bohr model, the electron can jump to any allowed orbit, not just the nearest one. Hence, Reason (R) is false.

Step 3: Conclusion. Thus, the correct answer is if Assertion is true but Reason (R) is false.