Q.

Three masses 700g, 500g, and 400g are suspended at the end of a spring a shown and are in equilibrium. When the 700g mass is removed, the system oscillates with a period of 3 seconds, when the 500 gm mass is also removed, it will oscillate with a period of

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a

1 s

b

2 s

c

3 s

d

125 s

answer is B.

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Detailed Solution

When mass 700 gm is removed, the left out mass (500 + 400) gm oscillates with a period of 3 sec∴3=t=2π(500+400)k      …...(i) When 500 gm mass is also removed, the left out mass is 400 gm.   ∴t'=2π400k                       …..(ii)⇒3t'=900400⇒t'=2sec
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Three masses 700g, 500g, and 400g are suspended at the end of a spring a shown and are in equilibrium. When the 700g mass is removed, the system oscillates with a period of 3 seconds, when the 500 gm mass is also removed, it will oscillate with a period of