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A mass of 1 kg attached to the bottom of...

A mass of `1 kg` attached to the bottom of a spring has a certain frequency of vibration. The following mass has to be added to it in order to reduce the frequency by half :

A

`1 kg`

B

`2 kg`

C

`3 kg`

D

`4 kg`

Text Solution

Verified by Experts

The correct Answer is:
C

`f_(1) = (1)/(2pi)sqrt((K)/(m_(1)))`
`f_(2) = (1)/(2pi)sqrt((K)/(m_(2)))`
`f_(2) = (f_(1))/(2)` or `m_(2) = 4m_(1)` or `m_(2) - m_(1) = kg`
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RESONANCE ENGLISH-SIMPLE HARMONIC MOTION -Exercise- 1, PART - II
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