Concepts Of Physics MCQ Edition [Volume 1]PhysicsWave Motion and Waves on a String

For a stationary wave,

Options

Aevery antinode oscillates in phase
Ball particles located between consecutive nodes oscillate in phase
Calternate antinodes oscillate in phase
Devery particle of the medium oscillates in phase

Correct answer

C. alternate antinodes oscillate in phase

Step-by-step solution

The equation of a stationary wave can be written as y = A (kx) ( t) . The term A (kx) gives the amplitude of oscillation for a particle at position x . Between two consecutive nodes, the value of kx lies in the interval (n , (n+1) ) . In this region, the sign of (kx) remains the same. Hence, all particles located between two consecutive nodes oscillate in phase. When crossing a node, the sign of (kx) changes, which means particles in adjacent loops oscillate out of phase by . Since the sign of (kx) alternates for c

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