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Standard XII
Physics
Wave Equation
32. The mathe...
Question
32. The mathematical forms for three sinusoidal travelling waves are given by Wave 1:y(x,t)=(2cm) sin (3x-6t) Wave 2:y(x,t)=3cm sin (4x-12t) Wave 3:y(x,t) =4cm sin(5x-11t) Where x is in metres and t in seconds of these waves
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Similar questions
Q.
The mathematical forms for three sinusoidal travelling waves are given by
Wave
1
:
y
(
x
,
t
)
=
(
2
c
m
)
s
i
n
(
3
x
−
6
t
)
Wave
2
:
y
(
x
,
t
)
=
(
3
c
m
)
s
i
n
(
4
x
−
12
t
)
Wave
3
:
y
(
x
,
t
)
=
(
4
c
m
)
s
i
n
(
5
x
−
11
t
)
where
x
is in meters and
t
is in seconds. Of these waves
Q.
The mathematical form of three travelling waves are given by
Y
1
=
(
2
c
m
)
s
i
n
(
3
x
−
6
t
)
Y
2
=
(
3
c
m
)
s
i
n
(
4
x
−
12
t
)
a
n
d
Y
3
=
(
4
c
m
)
s
i
n
(
5
x
−
11
t
)
of these waves,
Q.
The mathematical form of three travelling waves are given by
Y
1
=
(
2
c
m
)
s
i
n
(
3
x
−
6
t
)
Y
2
=
(
3
c
m
)
s
i
n
(
4
x
−
12
t
)
a
n
d
Y
3
=
(
4
c
m
)
s
i
n
(
5
x
−
11
t
)
of these waves,
Q.
Two sinusoidal waves travelling in opposite directions interfere to produce a standing wave described by the equation
y = (1.5 m) sin (0.400x) cos (200 t)
where, x is in metres and t is in seconds. Determine the wavelength, frequency and speed of the interfering waves.
Q.
Two sinusoidal waves are defined by the functions :
y
1
=
(
2.00
cm
)
sin
(
20
x
−
32
t
)
and
y
2
=
(
2.00
cm
)
sin
(
25
x
−
40
t
)
where
y
1
,
y
2
and
x
are in centimeters and
t
is in seconds. What is the phase difference between these two waves at the point
x
=
5.00
cm
at
t
=
2
s
?
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