Question

At a particular temperature the speed of sound is 330 m/s and its frequency is 990 Hz. Choose the correct period of the wave in fractional form.

Answer 1

The correct answer of the question is : 0.001 s.

CALCULATION:

As per the question, the speed of sound v = 330 m/s

The frequency of the sound f = 990 Hz.

Let the wavelength of the wave is $\lambda$.

The wavelength of the wave is calculated as-

                       wavelength $\lambda=\frac{speed}{frequency}$

                                               = $\frac{330}{990}\ m$

                                               = 0.33 m.

Now we are asked to calculate the time period.

The time period of the wave is reciprocal of frequency.

Mathematically time period T = $\frac{1}{f}$

                                                 = $\frac{1}{990}\ s$

                                                 = 0.001 s.

As per the question, we need the period.

Hence, the period of the wave is 0.001 s.

Answer 2

For the answer to the question above,  331 m/s divided by 990 Hz is about 1/3rd or .33

So the answer to the problem above is .33
I hope my answer helped you. Feel free to ask more questions. Have a nice day!