Two identical point masses and , suspended from two separate massless springs of spring constants and , respectively, oscillate vertically. If their maximum speeds are the same, the ratio of the amplitude of mass to the amplitude of mass is

NEET UGPhysicsModerateNEET 2025

Two identical point masses $P$ and $Q$ , suspended from two separate massless springs of spring constants $k_1$ and $k_2$ , respectively, oscillate vertically. If their maximum speeds are the same, the ratio $(A_Q/A_P)$ of the amplitude $A_Q$ of mass $Q$ to the amplitude $A_P$ of mass $P$ is

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Sol. Maximum velocity

V = A\omega

v_P = v_Q

A_P\omega_P = A_Q\omega_Q

\frac{A_Q}{A_P} = \frac{\omega_P}{\omega_Q} \quad \left( \omega = \sqrt{\frac{k}{m}} \right)

= \sqrt{\frac{k_P}{m_P} \frac{m_Q}{k_Q}}

= \sqrt{\frac{k_1}{k_2}}

Source: geekyrakshit/indian-exam-questions / neet2025-code45

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