Question

The frequency range of audible sounds for humans is 20 Hz to 20,000 Hz. Find the corresponding range of time periods for these audible sounds.

Answer 1

Step 1: Given data:

Frequency $f_1$ = 20 Hz.

Frequency $f_2$ = 20,000 Hz.

Step 2: Formulas Required:

Time period= $\frac{1}{f}$ seconds.

Step 3: Calculations:

For $f_1$,

Time period $t_1$=$\frac{1}{f_1}$seconds.

$t_1$ = $\frac{1}{20Hz}$

$t_1$ = 0.05 seconds

For $f_2$,

Time period, $t_2$= $\frac{1}{f_2}$ seconds

$t_2$=$\frac{1}{20,000Hz}$.

$t_2$ = $5\times {10}^{-5}seconds$

Step 4 :Conclusion:

Hence, the corresponding range of time periods for these audible sounds is $t_1$= $0.05seconds$ and $t_2$ = $5\times {10}^{-5}seconds$.