A horizontal spring executes S.H.M. with amplitude ' A_1 ', when … - Vidyadip

MCQ

A horizontal spring executes S.H.M. with amplitude ' $A_1$ ', when mass ' $m_1$ ' is attached to it, When it passes through mean position another mass ' $m_2$ ' is placed on it. Both masses move together with amplitude ' $A_2$ '. Therefore $A_2$ : $A_1$ is______

A
$`[(m_1 + m_2)/m_1]^{1/2}`$
B
$`[m_2/(m_1 + m_2)]^{1/2}`$
✓
$`[m_1/(m_1 + m_2)]^{1/2}`$
D
$`[(m_1 + m_2)/m_2]^{1/2}`$

✓

Answer

Correct option: C.

$`[m_1/(m_1 + m_2)]^{1/2}`$

C

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