State whether the following statement is true or false:
The audible range of frequencies for human beings is $20 \, Hz - 20 \, kHz$.

An echo is heard after $0.8 \, s$,when a person fires a cracker $132.8 \, m$ from a high building. Calculate the speed of sound.

$A$ body vibrating with a time period of $5 \times 10^{-3} \text{ s}$ produces a wave travelling in a medium with a velocity of $1450 \text{ m s}^{-1}$. Calculate its wavelength and the frequency of vibration of the body.

State whether the following statement is true or false: Sound waves travel faster in air than in water.

The distance between the crest and trough of a transverse wave is $15 \, cm$. What is the velocity of the wave if its frequency is $1000 \, Hz$?

The stem of a tuning fork is pressed against a table top. Answer the following questions: $(i)$ Would the above action produce any audible sound? $(ii)$ Does the above action cause the table to set into vibrations? $(iii)$ If the answer above is yes,what type of vibrations are they? $(iv)$ Under what conditions does the above action lead to resonance?