The total distance between four
consecutive crests of a transverse wave
is 6m. What is the wavelength of the
wave.
Answers
Answer:
The distance between two successive crests is 1
1
wavelength,λ
λ
. Thus in a time of 1
1
period, the wave will travel 1
1
wavelength in distance. Thus the speed of the wave,
v
v
, is:
v= distance travelled
time taken =
λ
T
v=distance travelledtime taken=λT
However,f=
1
T
f=1T
. Therefore, we can also write:
v
=
λ
T
=λ⋅
1
T
=λ⋅f
v=λT=λ⋅1T=λ⋅f
We call this equation the wave equation. To summarise, we have that
v=λ⋅f
v=λ⋅f
where
v=
v=
speed in
m⋅s −1
m·s−1
λ=
λ=
wavelength in m
m
f=
f=
frequency in Hz
Hz
Wave equation:
v=f⋅λ
v=f⋅λ
or
v=
λ
T
v=λT
Answer:
1.5m
Explanation:
The wavelength of a wave can be defined as the distance between any two consecutive crests.
Since the distance is between 4 crests, we can say that 3 waves have been covered,
3 waves = 6 m
1 wave = 6 ÷ 3 = 2m
Comment if you have any doubts