Question

A sound wave in water has a frequency of 256 Hz and a wavelength of 5.77 m. What is the speed of sound in water?
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Answer 1

Given :-

• The frequency of the sound wave in water is 256 Hz.
• The wavelength is 5.77 m

To find :-

• The speed of the sound in water.

Solution :-

Use the relationship between wavelength, speed, and frequency

speed of sound = wavelength × frequency

$\sf {S = λ × f }$

$\bf \: s \: = 5.77 \times 256 \: \frac{m}{s}$

$\bf \: s \: = 1480 \: m \s$

Answer :-

The speed of sound in water is 1,480 m/s.

Answer 2

Answer:

The speed of sound wave with a frequency of 256 Hz and a wavelength of 5.77 m in water is 1477.12 m/s.

Explanation:

The number of times a repeated event occurs per unit of time is known as frequency.

Given that Frequency f = 256 Hz

The wavelength of a periodic wave is its spatial period or the distance over which the wave's structure repeats.

Given that Wavelength ∧ = 5.77 m

The product of a wave's wavelength and frequency is its velocity, which is independent of its intensity.

∴Velocity v = f × ∧

                = 256 × 5.77

                = 1477.12 m/s

Therefore, the speed of sound in water is 1477.12 m/s.