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Physics Chapter 9 : Topic 8
Constructive and Destructive Interference
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When two waves meet and their displacements add together to produce a wave of greater amplitude, the phenomenon is called:
Reasoning: In constructive interference, two waves combine in phase, causing their amplitudes to add and produce maximum displacement.
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Constructive interference occurs when the phase difference between two waves is:
Reasoning: For constructive interference, waves must be in phase. The phase difference must be an integer multiple of $\mathbf{2\pi}$.
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Two waves of equal amplitude interfere constructively. The resultant amplitude will be:
Reasoning: In constructive interference, amplitudes add.Therefore, resultant amplitude $\mathbf{= A + A = 2A}$.
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Destructive interference occurs when two waves have a phase difference of:
Reasoning: A phase difference of $\mathbf{\pi}$ means the waves are completely out of phase, causing cancellation.
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In destructive interference between two waves of equal amplitude, the resultant amplitude is:
Reasoning: Equal amplitudes moving in opposite phases cancel each other completely.
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Which condition produces constructive interference?
Reasoning: Constructive interference occurs when path difference is an integer multiple of wavelength.
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The condition for destructive interference is:
Reasoning: A half-integer wavelength path difference causes the waves to arrive out of phase.
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Two waves have amplitudes $\mathbf{5\ cm}$ and $\mathbf{5\ cm}$. If they interfere destructively, the amplitude of the resultant wave is:
Reasoning: Equal amplitudes cancel completely during perfect destructive interference.
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Two waves of amplitudes $\mathbf{4\ cm}$ and $\mathbf{3\ cm}$ interfere destructively. The resultant amplitude will be:
Reasoning: For destructive interference, resultant amplitude is the difference of amplitudes. $\Longrightarrow$ $\mathbf{4 - 3 = 1\ cm}$
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The bright fringes observed in Young’s double-slit experiment are due to:
Reasoning: Bright fringes occur where waves reinforce each other due to constructive interference.
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The dark fringes in Young’s double-slit experiment are formed because of:
Reasoning: Dark fringes occur where waves cancel each other due to destructive interference.
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If two coherent waves have zero phase difference, they will produce:
Reasoning: Zero phase difference means waves are in the same phase and reinforce each other.
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Two waves interfere destructively. Which statement is correct?
Reasoning: Destructive interference occurs because the displacements of waves are opposite in direction.
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At a point of constructive interference, the intensity of light is:
Reasoning: Greater amplitude produces greater intensity, so constructive interference gives maximum intensity.
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At a point of destructive interference, the intensity of light is:
Reasoning: Cancellation reduces amplitude, resulting in minimum intensity.
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Two sound waves of the same frequency reach a point with a phase difference of $\mathbf{\pi}$. The listener experiences:
Reasoning: A phase difference of $\mathbf{\pi}$ causes destructive interference, reducing sound intensity.
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Constructive interference between two waves requires that their crests and troughs should:
Reasoning: Waves reinforce when similar displacements overlap.
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Destructive interference occurs when:
Reasoning: Opposite displacements cancel each other during destructive interference.
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If the path difference between two coherent waves is $\mathbf{\lambda}$, the interference will be:
Reasoning: A path difference of one wavelength means the waves arrive in the same phase.
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If the path difference between two coherent waves is $\mathbf{\lambda\ /\ 2}$, the interference will be:
Reasoning: A half-wavelength path difference introduces a phase difference of $\mathbf{\pi}$, causing cancellation.
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Which comparison between constructive and destructive interference is correct?
Reasoning: Constructive interference reinforces waves, while destructive interference reduces their resultant amplitude.
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Two waves with equal amplitude and frequency interfere. If their phase difference changes from $\mathbf{0}$ to $\mathbf{\pi}$, the resultant amplitude changes from:
Reasoning: Phase difference $\mathbf{0}$ gives constructive interference, while $\mathbf{\pi}$ gives destructive interference.
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When two waves interfere constructively, their energy:
Reasoning: Interference does not destroy energy; it redistributes energy between maximum and minimum intensity regions.
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Which statement correctly differentiates constructive and destructive interference?
Reasoning: Constructive interference occurs when waves reinforce, while destructive interference occurs when they oppose each other.
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A point where two waves cancel completely is called:
Reasoning: In a standing wave, points of complete destructive interference are called nodes.
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A point where two waves interfere constructively with maximum displacement is called:
Reasoning: Antinodes are points where constructive interference produces maximum amplitude.
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If one wave has a displacement of $\mathbf{+ \ 6\ cm}$ and another has displacement of $\mathbf{- \ 6\ cm}$ at the same point, the resultant displacement is:
Reasoning: Equal and opposite displacements cancel each other, producing zero resultant displacement.
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Which change can convert constructive interference into destructive interference?
Reasoning: Interference depends on phase difference; changing it from $\mathbf{0}$ to $\mathbf{\pi}$ changes reinforcement into cancellation.
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Two waves having the same frequency and constant phase difference are called:
Reasoning: Coherent sources produce waves with constant phase difference, necessary for interference.
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