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Question

What is the preferred unit used in the scientific literature to express the ratio between two sound intensities?

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
Decibels

Understanding Sound Intensity Ratios

The question asks for the standard unit used in scientific contexts to express the ratio between two sound intensities. This ratio is fundamental in acoustics for comparing sound levels.

Analyzing Measurement Units

Let's examine the options provided:

  • Phon: This unit measures perceived loudness level relative to a 1 kHz tone. It's subjective and not a direct measure of intensity ratio.
  • Pascal (Pa): This is the standard unit of pressure, often used for sound pressure, but not directly for sound intensity ratios.
  • Hertz (Hz): This unit measures frequency, which is the number of cycles per second, unrelated to sound intensity.
  • Decibels (dB): This is a logarithmic unit commonly used to express the ratio of two values of a physical quantity, such as power or intensity. In acoustics, it's the standard for sound intensity level (SIL) and sound pressure level (SPL) ratios, defined as $10 \log_{10} \frac{I_1}{I_2}$, where $I_1$ and $I_2$ are the sound intensities.

Conclusion on Preferred Unit

Given that decibels provide a convenient logarithmic scale for expressing the wide range of sound intensities encountered and are widely adopted in scientific literature, they are the preferred unit for the ratio between two sound intensities.

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