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Physics
A transverse stationary wave passes through a string with the equation y =10 sin π(0.02 x -2.00 t ) where x is in meters and t in seconds. The maximum velocity of the particles in wave motion is
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Q. A transverse stationary wave passes through a string with the equation
y
=
10
sin
π
(
0.02
x
−
2.00
t
)
where
x
is in meters and
t
in seconds. The maximum velocity of the particles in wave motion is
AIIMS
AIIMS 2000
Waves
A
63
16%
B
78
38%
C
100
35%
D
121
11%
Solution:
y
=
10
sin
π
(
0.02
x
−
2.00
t
)
∂
y
∂
t
=
−
20
π
cos
π
(
0.02
x
−
2.00
t
)
(
∂
y
∂
t
÷
)
max
=
20
π
=
63
units.