SHM in Nonviscous Liquid – Rankers Physics
Topic: Oscillation
Subtopic: Angular SHM and Simple Pendulum

SHM in Nonviscous Liquid

Assertion (A): A small body suspended by a light spring performing SHM. When the entire system is immersed in a nonviscous liquid period of oscillation does not change.
Reason (R): The angular frequency of oscillation of the particle does not change.
 
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

Solution:

The period of a spring-mass system is given by \( T = 2\pi \sqrt{\frac{m}{k}} \). Immersion in a nonviscous liquid does not change the mass \( m \) or the spring constant \( k \). Hence, the period \( T \) remains unchanged. So (A) is true. Angular frequency is \( \omega = 2\pi / T \), so if \( T \) does not change, \( \omega \) also does not change. So (R) is true and explains (A).

Leave a Reply

Your email address will not be published.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