Physics · Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, beats

If a note of unknown frequency produces 8 beats/sec, with a source of and 12 bea

If a note \( x \) of unknown frequency produces 8 beats/sec, with a source of \( 250 \mathrm{Hz} \) and 12 beats/sec with a source of \( 270 \mathrm{Hz} \), the frequency of unknown source will be:

  • A. 258 \( \mathrm{Hz} \)
  • B. 242 на
  • C. 262 н
  • D. 282 нz

Step-by-step solution

Beats frequency is absolute difference. From first source: |f - 250| = 8 → f=258 or 242. From second: |f - 270| = 12 → f=258 or 282. Common frequency is 258 Hz.
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