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MHT CET202311 May 2023Evening ShiftPhysicsOscillationsActual

The upper end of the spring is fixed and a mass ' m ' is attached to its lower end. When mass is slightly pulled down and released, it oscillates with time period 3 second. If mass ' m ' is increased by 1 ~kg , the time period becomes 5 second. The value of ' m ' is (mass of spring is negligible)

Options

  1. A3 8 ~kg
  2. B5 9 ~kg
  3. C8 13 ~kg
  4. D9 16 ~kg

Correct answer

C. 8 13 ~kg

Step-by-step solution

The formula for the time period of a spring mass system is T=2 m k For mass m+1, T^ =2 m+1 k Taking the ratio, aligned & T T ^ = 2 m k 2 m +1 k & T T = m m +1 & 3 5 = m m+1 & 9 25 = m m+1 & 9 m+9=25 ~m & 16 ~m =9 & m = 9 16 ~kg & aligned

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