In a ripple tank, 14 full ripples are produced in 1 s. If the distance between a crest and next trough is 12 cm. Calculate velocity of the wave.

To calculate the velocity of the wave, we can use the formula:

velocity = frequency × wavelength

First, let's find the frequency of the wave. We are given that 14 full ripples are produced in 1 second. This means the frequency is 14 Hz (cycles per second).

Next, we need to find the wavelength of the wave. The distance between a crest and the next trough is given as 12 cm. Since one full wave consists of one crest and one trough, the wavelength is twice this distance, which is 24 cm.

Now, we can substitute the values into the formula:

velocity = 14 Hz × 24 cm

To ensure consistent units, let's convert the wavelength from centimeters to meters:

velocity = 14 Hz × 0.24 m

Finally, we can calculate the velocity:

velocity = 3.36 m/s

Therefore, the velocity of the wave in the ripple tank is 3.36 m/s.