The distance between two successive crests of a water is 1m. lf a particle on the surface of the water makes two complete vertical oscillations in 1 second,...

The distance between two successive crests of a water is 1m. lf a particle on the surface of the water makes two complete vertical oscillations in 1 second, calculate the speed of the wave

Answer Details

The distance between two successive crests of a wave is called its wavelength, denoted by λ. In this question, the wavelength is given as 1m. The number of complete oscillations (or cycles) of a particle on the surface of the water in 1 second is called the frequency, denoted by f. In this question, the frequency is given as 2 cycles per second (or 2 Hz). The speed of a wave is given by the formula: v = f × λ Substituting the given values, we get: v = 2 Hz × 1m v = 2 m/s Therefore, the speed of the wave is 2 m/s. The correct answer is option (C) 2.0 ms^-1.