The speed of the waves will be 100 cm/s. The speed of a wave is the product of the frequency and wavelength.
When an object vibrates, a pressure wave is created, which produces sound. The particles in the surrounding medium (air, water, or solid) vibrate as a result of the pressure wave.
For one node distance is [tex]\lambda[/tex]
The distance between 4 nodes;
[tex]=\rm \lambda+ \frac{\lambda}{2} \\\\ = \frac{3 \lambda}{2} \\\\[/tex]
The distance between 4 nodes = 15.0 cm.
[tex]\frac{3\lambda}{2} = 15 \times 10^{-2} \\\\ \lambda= \frac{2 \times 15 \times 10^{-2}}{3} \\\\\ \lambda= 10 \times 10^{-2}[/tex]
The given frequency of the source is;
f = 10 Hz
The speed of wave is found as;
[tex]\rm v = f \lambda \\\\ v= 10 \times 10^{-2} \\\\ v=1 \ m \\\\\ v = 10^2 \ cm/sec[/tex]
Hence, the speed of the waves will be 100 cm/s
To learn more about the sound wave, refer to the link;
brainly.com/question/11797560
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