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Two masses m1 and m2 are suspended together by a massless spring of constant K. When the masses are in equilibrium, m1 is removed without disturbing the system. The amplitude of oscillations is 

a
m1gK
b
m2gK
c
(m1+m2)gK
d
(m1−m2)gK

detailed solution

Correct option is A

With mass m2 alone, the extension of the spring l is given as m2g=kl                ...(i) With mass (m1+m2), the extension  l' is given by  (m1+m2)g=k(l+Δl)           ....(ii) The increase in extension is Δl which is the amplitude of vibration. Subtracting (i) from (ii), we get m1g=kΔl  or  Δl=m1gk

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