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Q.

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

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a

1s

b

2s

c

3s

d

125s

answer is B.

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Detailed Solution

When mass of 700 g is removed, the left out mass (500 + 400) g oscillates with a period of 3 sec.∴ 3=t=2π(500+400)k ……(i)When 500 g mass is also removed, the left out mass is 400 gm.∴ t′=2π400k      .........(ii)⇒ 3t′=900400⇒t′=2sec
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