> #exams , #physics > 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 ?????
Jul 10

# 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 ?????

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Anonymous
Jul 11
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.
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