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A mass of 1 kg attached to the bottom of a spring ahs a certain frequency of vibration. The following mass has to the added to it in order to reduce the frequency by half (a) 1 kg (b) 3 kg (c) 2 kg (d) 4 kg

A mass of 1 kg attached to the bottom of a spring ahs a certain frequency of vibration. The following mass has to the added to it in order to reduce the frequency by half
(a) 1 kg (b) 3 kg
(c) 2 kg (d) 4 kg

Grade:Upto college level

1 Answers

Shaujendra kumar
13 Points
6 years ago
Kx=g........(1)K=g/xT=2π√m/k. M/k=x/g........(2). Then T=2π√x/gAgain F=1/TF=1/2π√x/g.....(3)Again A/Q F/2=1/2×2π√x/gI.e√M2/k=2√x/gM2=4kx/gM2=4M1M2=4kgHence additional mass 4-1=3kg

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