What is the frequency of a sound wave whose vibrations occur 5 x 10^-3 sec apart?

The frequency of a sound wave is determined by the number of vibrations or cycles of the wave that occur in a given amount of time. To calculate the frequency, you need to know the time interval between two consecutive vibrations.

In this case, the time interval between two consecutive vibrations is given as 5 x 10^-3 seconds. The frequency, denoted by the symbol "f," can be calculated using the formula:

f = 1 / T

Where:
f = frequency
T = time interval

Substituting the given value for T into the formula, we have:

f = 1 / (5 x 10^-3)

To simplify the calculation, we can express 5 x 10^-3 as 0.005 in decimal form:

f = 1 / 0.005

To divide by a decimal number, we can multiply by its reciprocal:

f = 1 * (1 / 0.005)

f = 200

Therefore, the frequency of the sound wave is 200 cycles per second, or 200 Hz.