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Byju's Answer
Standard XII
Physics
y-x-t Graph
A pulse trave...
Question
A pulse travels on a string under tension. The transverse displacement of the string from its equilibrium position is given by y = f (x - 150 t) where x is in meters and t is in seconds.
Find the velocity of a particle at t = 0, x = 1m
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Solution
V
p
=
−
δ
y
δ
x
V
w
V
p
=
1
c
m
1.5
c
m
×
150
m
/
s
V
p
=
−
1
m
/
s
(
d
o
w
n
w
a
r
d
s
)
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Similar questions
Q.
A pulse travels on a string under tension. The transverse displacement of the string from its equilibrium position is given by y = f (x - 150 t) where x is in meters and t is in seconds.
The pulse (y) is plotted as a function of x for t = 0. Draw the pulse (in the panels given)
(i) as a function of x for t = 0.04 s (ii) as a function of t for x = 0.
Q.
A composition string is made up by joining two strings of different masses per unit length
⟶
μ
and
4
μ
.
The composite string is under the same tension. A transverse wave pulse :
Y
=
(
6
m
m
)
sin
(
5
t
+
40
x
)
, where '
t
' is in seconds and '
x
' in meters, is sent along the lighter string towards the joint. The joint is at
x
=
0.
The equation of the wave pulse reflected from the joint is
Q.
For a certain transverse standing wave on a long string, an antinode is formed at
x
=
0
and next to it, a node is formed at
x
=
0.10
m
. The position
y
(
t
)
of the string particle at
x
=
0
is shown in figure.
Q.
A composite string is made by joining two strings of different masses per unit length
μ
and
4
μ
. The composite string is under the same tension. A transverse wave pulse.
y
=
(
6
mm
)
sin
(
5
t
+
40
x
)
, where '
t
' is in seconds and '
x
' is in meters, is sent along the lighter string towards the joint. The joint is at
x
=
0
. The equation of the wave pulse reflected from the joint is
y
=
(
2
mm
)
sin
(
5
t
−
40
x
+
π
)
. The percentage of the power transmitted to the heavier string through the joint is approximately
Q.
For a certain transverse standing wave having wavelength
0.4
m
on a long string, an antinode is formed at
x
=
0
and next to it, a node is formed at
x
=
0.10
m
. The displacement y(t) of the string particle at
x
=
0
is shown in figure.
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