Hi,
Which correctly expresses the relationship between wavelength (L), speed (V) and perios (T) of a sinusodial wavform ?
a) L = T/V
b) L= 2fxV/ T
c) L= 1 / V x T
D) L= V/T
e) L = V x T
f) L= V x T/ 2f
I feel it is option (d) ..please check for me ..
and thanx
Is it possible to do some thinking?
the wave equation is
frequency*wavelength=velocityofpropagation
but frequency is 1/period
so therefore,
wavelength= period*velocity.
To determine the correct relationship between wavelength (L), speed (V), and period (T) of a sinusoidal wave, we need to understand the definitions and formulas associated with these terms.
Wavelength (L) represents the distance between two consecutive points in a wave that are in phase with each other. It can be measured from any corresponding point on two consecutive waves, such as from crest to crest or from trough to trough.
Speed (V) of a wave refers to how fast the wave is traveling through a medium. It is calculated by dividing the distance traveled by the time it takes for the wave to travel that distance.
Period (T) measures the time it takes for one complete cycle of the wave to occur and is the reciprocal of the frequency (f) of the wave.
Now, let's consider each option:
a) L = T/V: This equation represents the correct relationship between wavelength (L), period (T), and speed (V). It states that the wavelength is equal to the period divided by the speed. This option is correct.
b) L = 2fxV/T: This equation introduces the frequency (f) but incorrectly includes a factor of 2. It is not the correct relationship.
c) L = 1/(VxT): This equation incorrectly combines the speed (V) and period (T) by multiplying them together in the denominator. It is not the correct relationship.
d) L = V/T: This equation represents the correct relationship between wavelength (L), speed (V), and period (T). It states that the wavelength is equal to the speed divided by the period. This option is correct.
e) L = VxT: This equation incorrectly multiplies the speed (V) and period (T) together without any division. It is not the correct relationship.
f) L = VxT/2f: This equation introduces the frequency (f) and includes a factor of 2 in the denominator that is not necessary. It is not the correct relationship.
Based on the explanations provided, option (d) L = V/T is the correct expression for the relationship between wavelength (L), speed (V), and period (T) of a sinusoidal waveform.