If the amplitude of a wave is doubled, then its intensity is:
Correct answer: C. Quadrupled
- A. Doubled
- B. Halved
- C. Quadrupled
- D. One fourth
Explanation
(a) If the amplitude of a wave is doubled, its intensity is not doubled. The correct answer is not (a). (b) If the amplitude of a wave is halved, its intensity is not halved either. The correct answer is not (b). (c) If the amplitude of a wave is doubled, its intensity is quadrupled. This means that the intensity increases by a factor of four. So, option (c) is the correct one. (d) If the amplitude of a wave is one-fourth of its original value, the intensity is not one-fourth. The correct answer is not (d). Intensity (I) is given by the formula: I = (A^2) * P Where: - I is the intensity of the wave - A is the amplitude of the wave - P is the power of the wave This formula shows that intensity is directly proportional to the square of the amplitude. So, if the amplitude is doubled, the intensity will be quadrupled.
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About Waves
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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