Question

Audio frequency range of human ear is 20 Hz to 20000 Hz. What is the range of human ear in terms of time period of the wave.

• A. $(5\times {10}^{-5}s,5s)$
• B. $(5\times {10}^{-5}s,5\times {10}^{-2}s)$
• C. $(5\times {10}^{-5}s,50s)$
• D. $(5\times {10}^{-5}s,5\times {10}^{-1}s)$

Answer 1

The correct option is B $(5\times {10}^{-5}s,5\times {10}^{-2}s)$

The audible frequency range of human year is between 20 Hz to 20000 Hz

Time period for a wave of frequency $f$ is given by:
$T=\frac{1}{f}$

For frequency $f_1=20Hz$, time period is:
$T_1=\frac{1}{f_1}$
$T_1=\frac{1}{20Hz}$
$T_1=5\times {10}^{-2}s$

For frequency $f_2=20000Hz$, time period is:
$T_2=\frac{1}{f_2}$
$T_2=\frac{1}{20000Hz}$
$T_2=5\times {10}^{-5}s$

So the range of audibility of humar ear in terms of time period is:
$T\in (5\times {10}^{-5}s,5\times {10}^{-2}s)$