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511
The distance between two consecutive rarefactions (elongations) is called:
A. Wavelength
B. Displacement
C. Amplitude
D. Frequency
Answer & Solution
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Explanation
The OCR answer key indicates wavelength; by definition the distance between successive similar points (e.g., consecutive rarefactions) is the wavelength.
512
The angular frequency of a 500 Hz tuning fork will be
A. 3411.6 Hz
B. 3614.1 Hz
C. 3141.6 Hz
D. 3114.6 Hz
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Explanation
Angular frequency ω = 2πf = 2π × 500 ≈ 3141.6 rad/s.
513
An oscillating body is at mean position at t = 0. At t = T/4 it will be at
A. Extreme position
B. Between extreme and mean position
C. Mean position
D. Beyond extreme position
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Explanation
A simple harmonic oscillator at t=0 (mean) reaches extreme displacement at t = T/4, so option A is correct.
514
A body performs simple harmonic motion with a period of 0.063 s. The maximum speed is 3.0 m s^-1. What are the values of the amplitude x₀ (m) and angular frequency ω (rad s^-1)?
A. x₀ = 5.3, ω = 16
B. x₀ = 3.3, ω = 100
C. x₀ = 0.03, ω = 100
D. x₀ = 0.19, ω = 16
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Explanation
ω = 2π/T ≈ 2π/0.063 ≈ 100 rad/s; amplitude A = vmax/ω = 3.0/100 = 0.03 m.
515
Huygen principle is used to determine:
A. About polarized and unpolarized light
B. Location of wavefront
C. None of them
D. Speed of light
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Explanation
Huygens' principle constructs wavefronts by treating each point on a wavefront as a source of secondary wavelets, thus determining wavefront location.
516
A pulse on the string is inverted when it is reflected from
A. free end
B. either of the two
C. fixed end
D. rubber cord
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Explanation
A pulse reflecting from a fixed end undergoes inversion (phase reversal), whereas reflection from a free end does not invert the pulse.
517
The time period of a vibrating body is 0.5 s, the frequency will be
A. 1 Hz
B. 3 Hz
C. 4 Hz
D. 2 Hz
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Explanation
Frequency is 1/T, so 1/0.5 s = 2 Hz.
518
A cork moves at 5 m s^-1 on the crest of a wave. The distance between the crests is 10 m. The frequency of the wave motion is
A. 0.5 Hz
B. 5.0 Hz
C. 20 Hz
D. 1.0 Hz
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Explanation
Frequency = wave speed / wavelength = 5 m s^-1 / 10 m = 0.5 Hz.
519
In the Huygens' wave theory, the locus of all points in the same state of vibration is called
A. a half period zone
B. vibration
C. a wavefront
D. a ray
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Explanation
By definition in Huygens' principle, a wavefront is the locus of points in the same phase (same state of vibration).
520
Which of the following properties of light does not vary with the nature of the medium?
A. Wavelength
B. Amplitude
C. Frequency
D. Time period
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Explanation
When light enters a different medium, its frequency remains unchanged while wavelength and velocity change.