Superposition of Waves — Important Questions
Maharashtra Board · Class 12 · Physics
44 important questions from Superposition of Waves for Maharashtra Board Class 12 Physics, with answers. Written for the board exams 2027.
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Important Questions from Superposition of Waves
Two waves with amplitudes A₁ = 3 cm and A₂ = 4 cm interfere constructively. What is the resultant amplitude?
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7 cm
For constructive interference (phase difference = 0), the resultant amplitude A = A₁ + A₂ = 3 + 4 = 7 cm. The waves are in phase and amplitudes add directly.
Which of the following are properties of stationary waves? (Select all correct)
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No energy propagation, Nodes and antinodes are formed, Wave velocity is zero, Formed by superposition of identical waves traveling in opposite directions
Stationary waves have zero wave velocity, no energy propagation, distinct nodes (zero amplitude) and antinodes (maximum amplitude), and are formed when identical waves traveling in opposite directions superpose. Particles have different amplitudes at different positions.
A string of length 60 cm vibrates in its fundamental mode with frequency 100 Hz. What is the wavelength?
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120 cm
For a string fixed at both ends in fundamental mode, length L = λ/2. Therefore, λ = 2L = 2 × 60 = 120 cm. The fundamental mode has one loop between the fixed ends.
Beat frequency is produced when two sound waves of frequencies 256 Hz and 260 Hz are sounded together. The beat frequency is:
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4 Hz
Beat frequency = |n₁ - n₂| = |256 - 260| = 4 Hz. Beats occur due to the periodic variation in amplitude when two waves of slightly different frequencies interfere.
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