Important Questions: Superposition of Waves - Maharashtra Board XII Physics

Prepare for your Maharashtra Board XII Physics exam with these important questions from the chapter Superposition of Waves. These questions cover key concepts and are designed to help you excel in your exams.

Theory Questions

1. Differentiate between Progressive wave and Stationary wave. (2 Marks)

2. With a neat labelled diagram, show that all harmonics are present in a pipe open at both ends. Define end correction. (3 Marks)

3. Derive an expression for the equation of a stationary wave. Write the condition for the Node & Anti Node. (3 Marks)

4. Define Harmonics and Overtone. Draw neat, labelled diagrams for the modes of vibration of a stretched string in the second harmonic and third harmonic. (4 Marks)

5. Show that all harmonics are present in a stretched string between two rigid supports. (3 Marks)

6. Explain analytically how stationary waves are formed. Hence, show that the distance between a node and an adjacent antinode is \(\frac{\lambda}{4}\). (2 Marks)

7. Discuss different modes of vibrations in an air column of a pipe open at both ends. Find the end correction for the pipe open at both ends. (3 Marks)

8. What is meant by Fundamental frequency? (2 Marks)

9. What is beat frequency? (1 Mark)

10. Explain the reflection of transverse and longitudinal waves from a denser medium and a rarer medium. (3 Marks)

11. State the principle of superposition of waves. (2 Marks)

12. State the law of length, law of tension, and law of linear density for a vibrating string. (3 Marks)

13. Write the properties of a progressive wave. (2 Marks)

14. Derive an expression for the amplitude of the resultant wave produced due to the superposition of two waves. (3 Marks)

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