Rydberg Constant Dependence on Mass Number – Rankers Physics

Nucleus: Practice Problem & Solution

Assertion (A): Rydberg constant varies with mass number of a given element. Reason (R): The reduced mass of electron depends on the mass of the nucleus.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Nucleus. Understanding the underlying formula is key to arriving at the correct answer below:

The effective Rydberg constant for an atom depends on the reduced mass \( \mu = \frac{m_e M}{m_e + M} \), where \( M \) is the nuclear mass (related to mass number). So, (A) is true. The reduced mass clearly depends on the nuclear mass. So (R) is true. (R) correctly explains (A).

Leave a Reply

Your email address will not be published. Required fields are marked *