Ten complete waves passes through a point in 2 seconds. If the wavelength is 20 cm, what is the speed of the wave?

Explanation

The speed of a wave is given by the product of its frequency and wavelength. In this case, we are given the wavelength of the wave, which is 20 cm. We are also told that 10 complete waves pass through a point in 2 seconds. The number of complete waves that pass through a point in one second is called the frequency of the wave. So, we can find the frequency of the wave by dividing the number of complete waves that pass through a point in 2 seconds (which is 10) by the time it takes for them to pass (which is 2 seconds): frequency = 10 / 2 = 5 Hz. Now that we know the frequency of the wave and its wavelength, we can find its speed by multiplying the frequency by the wavelength: speed = frequency × wavelength = 5 Hz × 20 cm = 100 cm/s. However, the question asks for the speed of the wave in m/s, so we need to convert the answer to meters per second. We know that 1 meter is equal to 100 centimeters, so we can convert the speed from centimeters per second to meters per second by dividing it by 100: speed = 100 cm/s / 100 = 1 m/s. Therefore, the speed of the wave is 1 m/s.