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Q98 (CDS-II/2019) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Waves and acoustics Answer Verified

The frequency (in 11z) of a note that is one octave higher than 500 Hz is-

Result
Your answer: —  Â·  Correct: C
Explanation

In acoustics and music theory, an octave represents a specific mathematical relationship between two frequencies where the ratio is 2:1. When moving up one octave from a given pitch, the frequency of that note doubles. Conversely, moving down one octave results in the frequency being halved. Given the original note has a frequency of 500 Hz, the frequency of a note one octave higher is calculated by multiplying the base frequency by two (500 Hz × 2 = 1000 Hz). This principle is universal in Western music and physics, ensuring that notes an octave apart share the same name but differ in pitch. For instance, if A4 is 440 Hz, the A5 note one octave above is 880 Hz. Therefore, for a 500 Hz note, the higher octave is exactly 1000 Hz.

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