A source 'Y' of unknown frequency produces 4 beats with a source of 240 Hz and 8 beats with a sound of 252 Hz. Frequency of the source 'Y' is:
Correct answer: A. 244 Hz
- A. 244 Hz
- B. 236 Hz
- C. 248 Hz
- D. 246 Hz
Explanation
The beat frequency is the absolute difference between two frequencies. For the source 'Y' to produce 4 beats with 240 Hz, it can be either 240 + 4 = 244 Hz or 240 - 4 = 236 Hz. Similarly, for 8 beats with 252 Hz, it must be 252 - 8 = 244 Hz or 252 + 8 = 260 Hz. The only common frequency is 244 Hz, which satisfies both conditions. Therefore, the correct answer is 244 Hz. Options B (236 Hz), C (248 Hz), and D (246 Hz) do not satisfy both sets of beat frequencies.
This question appeared on the UHS MDCAT 2010 paper, which you can sit online with every answer explained.
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About Superposition and Interference
Superposition states that overlapping waves produce a resultant displacement equal to the algebraic sum of their individual displacements. Interference covers constructive and destructive interference, phase difference, path difference, coherent sources, and conditions for maxima and minima. It differs from diffraction, which involves spreading around openings or obstacles.
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