Question

Assertion (A): 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.

Options

• If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

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

• If Assertion (A) is true but Reason (R) is false.

• If both Assertion (A) and Reason (R) are false.

Answer 1

If Assertion (A) is true but Reason (R) is false.

Explanation:

In Bohr’s model of the hydrogen atom, the angular momentum (L) of an electron in the n^th orbit is expressed as: L = `(n h)/(2 pi)`. The angular momentum is directly proportional to the square root of the orbital radius, and in accordance with Bohr’s model, an electron can transition between any two permitted energy levels by absorbing or releasing a photon of suitable energy. It is not limited to transitioning solely to its nearest orbit; it can also undertake more substantial shifts.