Two tuning forks of frequencies 256Hz and 260Hz are sounded together the time interval between two consecutive maximum sound heard by a listener is:

Correct answer: D. 0.25 Sec

  • A. 0.5 Sec
  • B. 2 Sec
  • C. 1 Sec
  • D. 0.25 Sec

Explanation

The beat frequency is determined by the difference between the two frequencies: Δf = 260 Hz - 256 Hz = 4 Hz. The time interval between consecutive maximum sounds, or beats, is the reciprocal of the beat frequency. Thus, T = 1/Δf = 1/4 s-1 = 0.25 seconds. Options A, B, and C are incorrect as they do not match the calculation based on the beat frequency.

This question appeared on the ETEA MDCAT 2016 paper, which you can sit online with every answer explained.

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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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