A soundwave of velocity 350m/s is directed towards the surface of water.if the ratio of the wave length of sound in water to that in air is 425:l00 calculate the velocity of the wave in water ?????

To calculate the velocity of the sound wave in water, we can use the relationship between wavelength, velocity, and frequency. The velocity of a wave can be calculated by multiplying its wavelength (λ) by its frequency (f). Let's assume the wavelength of the sound wave in air is λ_air, and the wavelength of the sound wave in water is λ_water. The ratio of the wavelengths is given as 425:100. Given: Velocity of sound in air (v_air) = 350 m/s We can set up the following equation using the ratio of the wavelengths: λ_water / λ_air = 425 / 100 Now, we need to find the velocity of the wave in water (v_water). Since the velocity of a wave is directly proportional to its wavelength, we can set up a similar relationship for the velocities: v_water / v_air = λ_water / λ_air We can rearrange the equation to solve for v_water: v_water = v_air * (λ_water / λ_air) Substituting the given values: v_water = 350 m/s * (425 / 100) v_water = 1487.5 m/s Therefore, the velocity of the sound wave in water is approximately 1487.5 m/s.