Two waves are traveling through the same container of nitrogen gas. Wave $A$ has wavelength $1.5 m$ and wave $B$ has wavelength of $4.5 m$ . The speed of the wave $B$ must be …. the speed of the wave $A$ .

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Solution

The property of waves.
The speed of waves is dependent upon the medium in which it travels.
It does not depend upon the wavelength and frequency. Although wave speed is related to wavelength and frequency as follows:
Speed $=$ wavelength $\times$ frequency,
both wavelength and frequency will be adjusted according to the medium in which the wave travels.

Apply that property in the given situation
We see that two waves of different wavelengths travel in nitrogen, that is, the medium is the same. So, velocity will not differ, instead, the frequency will be adjusted accordingly so that the velocity remains the same in both cases.
The speed of the wave $B$ must be the same as the speed of the wave $A$ .

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Two waves are traveling through the same container of nitrogen gas. Wave A has wavelength 1.5m and wave B has wavelength of 4.5m. The speed of the wave B must be …. the speed of the wave A.

Two waves are traveling through the same container of nitrogen gas. Wave $A$ has wavelength $1.5 m$ and wave $B$ has wavelength of $4.5 m$ . The speed of the wave $B$ must be …. the speed of the wave $A$ .