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Physics Chapter 9 : Topic 10
Formation of Stationary Waves
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A stationary wave is formed due to the superposition of two waves having:
Reasoning: A stationary wave is produced when two identical waves travel in opposite directions and interfere with each other.
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In a stationary wave, the points where the displacement is always zero are called:
Reasoning: Nodes are points where destructive interference always occurs, producing zero displacement.
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The points of maximum displacement in a stationary wave are called:
Reasoning: Antinodes are formed where constructive interference produces maximum amplitude.
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The graphical representation of a stationary wave shows:
Reasoning: A stationary wave graph shows fixed nodes and antinodes along the medium.
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Two waves forming a stationary wave must have:
Reasoning: Stationary waves require two identical waves with equal amplitude and frequency traveling in opposite directions.
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In a stationary wave, the distance between two consecutive nodes is:
Reasoning: The separation between consecutive nodes or antinodes is half of the wavelength.
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The distance between a node and the nearest antinode in a stationary wave is:
Reasoning: A node and adjacent antinode are separated by one-quarter of the wavelength.
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When two identical waves travel in opposite directions, the resulting wave pattern appears:
Reasoning: In stationary waves, the pattern remains fixed although particles continue vibrating.
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In the graphical formation of a stationary wave, the first step involves:
Reasoning: A stationary wave is obtained by superposition of incident and reflected waves traveling oppositely.
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At an antinode of a stationary wave, the amplitude of vibration is:
Reasoning: Constructive interference at antinodes gives maximum amplitude.
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At a node in a stationary wave, particles:
Reasoning: Nodes are points where destructive interference prevents any displacement.
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A stationary wave differs from a travelling wave because it:
Reasoning: In a stationary wave, energy is not transferred from one point to another.
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The amplitude of particles in a stationary wave:
Reasoning: Particle amplitude depends on its position in the stationary wave pattern.
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The formation of a stationary wave on a string fixed at both ends occurs due to:
Reasoning: Reflected waves travel back along the string and interfere with incoming waves.
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The equation of two opposite travelling waves can produce a stationary wave because:
Reasoning: Superposition of opposite waves creates a fixed interference pattern.
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In a stationary wave, all particles between two adjacent nodes vibrate:
Reasoning: Particles between two nodes vibrate in phase with each other.
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The graphical representation of a stationary wave is obtained by:
Reasoning: Stationary wave graphs are created by combining two travelling waves using superposition.
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Particles on opposite sides of a node in a stationary wave vibrate:
Reasoning: Particles separated by a node oscillate in opposite directions.
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If the amplitude of each wave forming a stationary wave is $\mathbf{A}$, the amplitude at an antinode is:
Reasoning: At antinodes, the amplitudes of two waves add together.
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If the amplitude of each wave forming a stationary wave is $\mathbf{A}$, the amplitude at a node is:
Reasoning: At nodes, equal and opposite displacements cancel each other.
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Which statement about stationary waves is correct?
Reasoning: Nodes and antinodes remain at fixed positions.
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A stationary wave has three loops between fixed ends. The number of antinodes present is:
Reasoning: Each loop represents one antinode.
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The number of nodes in a stationary wave with four antinodes between fixed ends is:
Reasoning: For a string fixed at both ends, number of nodes $\mathbf{=}$ number of antinodes $\mathbf{+ \ 1}$.
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When a stationary wave is formed, the particles of the medium:
Reasoning: Each particle oscillates, but amplitude depends on its location.
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A stationary wave can be produced by:
Reasoning: Opposite travelling identical waves are required for stationary wave formation.
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In a graphical stationary wave pattern, the loops between two consecutive nodes represent:
Reasoning: Each loop represents an antinode region where particles vibrate with maximum amplitude.
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The velocity of a particle at an antinode is:
Reasoning: Although displacement becomes maximum at extreme positions, particle velocity becomes maximum while crossing equilibrium.
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Which quantity remains constant for all particles in a stationary wave?
Reasoning: All particles vibrate with the same frequency as the original waves.
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In the graphical representation of stationary waves, the points where successive curves intersect indicate:
Reasoning: Intersections represent points where displacement remains zero.
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The formation of a stationary wave demonstrates the application of:
Reasoning: Stationary waves are produced due to the superposition of two identical waves traveling in opposite directions.
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