3 Transverse waves have a speed of \( 0,5 \mathrm{~m} \cdot \mathrm{~s}^{-1} \) and a wavelength of 25 mm . a) Calculate the frequency of the waves. b) What is the period of the waves?

Given: - Speed of the transverse waves: \( v = 0.5 \, \text{m/s} \) - Wavelength of the transverse waves: \( \lambda = 25 \, \text{mm} = 0.025 \, \text{m} \) a) To calculate the frequency of the waves, we can use the formula: \[ f = \frac{v}{\lambda} \] Substitute the given values into the formula: \[ f = \frac{0.5 \, \text{m/s}}{0.025 \, \text{m}} \] b) The period of the waves can be calculated using the formula: \[ T = \frac{1}{f} \] Substitute the calculated frequency into the formula: \[ T = \frac{1}{f} \] Let's calculate the frequency and period of the waves. Calculate the value by following steps: - step0: Calculate: \(\frac{0.5}{0.025}\) - step1: Convert the expressions: \(\frac{\frac{1}{2}}{\frac{1}{40}}\) - step2: Multiply by the reciprocal: \(\frac{1}{2}\times 40\) - step3: Reduce the numbers: \(1\times 20\) - step4: Simplify: \(20\) a) The frequency of the waves is \( f = 20 \, \text{Hz} \). b) The period of the waves is \( T = \frac{1}{f} = \frac{1}{20} = 0.05 \, \text{s} \).