As a wave travels into a medium in which its speed increases, its wavelength would __ a. remain the same b. increase c. decrease

## Step 1<br />The problem involves the relationship between the speed of a wave, its frequency, and its wavelength. This relationship is given by the wave equation:<br />### \(v = f\lambda\)<br />where \(v\) is the speed of the wave,\) is the frequency, and \(\lambda\) is the wavelength.<br /><br />## Step 2<br />According to the problem, the speed of the wave increases. However, the frequency of the wave remains constant because it is a property of the source of the wave and does not change when the wave enters a different medium.<br /><br />## Step 3<br />Given that the speed of the wave increases and the frequency remains constant, the wavelength must increase to maintain the balance in the equation. This is because the speed of the wave is directly proportional to the wavelength when the frequency is constant.