Question

define the terms wave length and frequency of a wave . derive the relation between wave speed , wavelength and frequency

Answer 1

wavelength is the distance between two consecutive crest and trough

frequency is number of oscillations or vibrations in per unit time

Answer 2

the distance between 2 consecutive compression or rarefraction is called wave length..

$u = 1 \div t$
$speed \: of \: a \: wave = lamda \div t \\ speed \: of \: a \: wave = lamda \times u \times 1 \div t = u$
therfore,speed of a wave is proportional to frequency from speed of a wave and frequency we can understand that
$v = u \times lamda$
hence,speed of sound wave=frequency×wave length