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Topic: Spring oscillations, restoring force, force constant· Oscillations and Waves

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass m is increased by 1 kg, t…

A body of mass \(m\) is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass \(m\) is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass \(m\) is increased by 1 kg, the time period of oscillations becomes 5 s. The value of \(m\) in kg is

1. \(\frac{4}{3}\)

2. \(\frac{16}{9}\)

3. \(\frac{9}{16}\)

4. \(\frac{3}{4}\)

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