This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: State the wave equation and identify the given values. The relationship between wave speed (v), frequency (f), and wavelength () is given by: v = f We are given the frequency f = 50 \, Hz. The speed of waves in the first region is v_1 = 1.0 \, ms^-1. The speed of waves in the second region is v_2 = 0.4 \, ms^-1. Step 2: Calculate the wavelength for the first region (_1). Rearrange the wave equation to solve for wavelength: = (v)/(f). _1 = (v_1)/(f) _1 = 1.0 \, ms^-150 \, Hz _1 = 0.02 \, m Step 3: Calculate the wavelength for the second region (_2). _2 = (v_2)/(f) _2 = 0.4 \, ms^-150 \, Hz _2 = 0.008 \, m Step 4: Calculate the difference in their wavelengths. Difference in wavelengths = |_1 - _2| |_1 - _2| = |0.02 \, m - 0.008 \, m| |_1 - _2| = 0.012 \, m The difference in their wavelengths is 0.012 m. What's next?