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Two waves passing through a region are represented by y_1 = (1.0 cm ) [(3.14 cm ^ -1…
PHYSICS · Subjective · CBSE · Physics · Waves · Waves
Problem
Two waves passing through a region are represented by
y
1
=
(
1.0
cm
)
sin
[
(
3.14
cm
−
1
)
x
−
(
157
s
−
1
)
t
]
y_1 = (1.0 \text{ cm}) \sin [(3.14 \text{ cm}^{-1}) x - (157 \text{ s}^{-1}) t]
y
1
=
(
1.0
cm
)
sin
[(
3.14
cm
−
1
)
x
−
(
157
s
−
1
)
t
]
and
y
2
=
(
1.5
cm
)
sin
[
(
1.57
cm
−
1
)
x
−
(
314
s
−
1
)
t
]
y_2 = (1.5 \text{ cm}) \sin [(1.57 \text{ cm}^{-1}) x - (314 \text{ s}^{-1}) t]
y
2
=
(
1.5
cm
)
sin
[(
1.57
cm
−
1
)
x
−
(
314
s
−
1
)
t
]
Find the displacement of the particle at
x
=
4.5
cm
x = 4.5 \text{ cm}
x
=
4.5
cm
at time
t
=
5.0
ms
t = 5.0 \text{ ms}
t
=
5.0
ms
.
Related theory
Wave Description
Wave Superposition
Interference
Waves
Superposition and interference of waves
Principle of superposition
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