#### Oscillations Three Marks Questions

11th Standard

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Physics

Time : 00:45:00 Hrs
Total Marks : 30
10 x 3 = 30
1. A nurse measured the average heart beats of a patient and reported to the doctor in terms of time period as 0.8 s. Express the heart beat of the patient in terms of number of beats measured per minute.

2. A spring balance has a scale which ranges from 0 to 25 kg and the length of the scale is 0.25m. It is taken to an unknown planet X where the acceleration due to gravity is 11.5 m s−1. Suppose a body of mass M kg is suspended in this spring and made to oscillate with a period of 0.50 s. Compute the gravitational force acting on the body.

3. Consider two springs with force constants 1 N m−1 and 2 N m−1 connected in parallel. Calculate the effective spring constant (kp) and comment on kp.

4. If the length of the simple pendulum is increased by 44% from its original length, calculate the percentage increase in time period of the pendulum.

5. Write down the kinetic energy and total energy expressions in terms of linear momentum, For one-dimensional case.

6. Alcohol in a U tube executes S.H.M of time period T. Now, alcohol is replaced by water upto the same height in the U-tube. What will be the effect on the time period?

7. What is the ratio, between the potential energy the total energy of a particle executing S.H.M, when its displacement is half of its amplitude?

8. The maximum velocity of a particle, executing simple harmonic motion with an amplitude of 7mm is 4.4ms-1. What is the period of oscillation?

9. The bob of a simple pendulum is a hollow sphere filled with water. How will the period of oscillation change if the water begins to drain out of the hollow sphere from a fine hole at its bottom?

10. Derive the expression for resultant spring constant when two springs having constant kl and k2 are connected in parallel.