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Byju's Answer
Standard XII
Physics
Relation between Work Done and PE
The potential...
Question
The potential energy of a particle of mass m is given by U(x) = U(1 - cosax), where U, and a are constant. Time period of small oscillation of the particle is
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Q.
A particle of mass
m
is moving in a field where the potential energy is given by
U
(
x
)
=
U
0
(
1
−
cos
a
x
)
, where
U
0
and
a
are positive constants and
x
is the displacement from mean position. Then (for small oscillations):
Q.
The potential energy of a particle of mass 'm' situated in a uni-dimensional potential field varies as
U
(
x
)
=
U
0
[
1
−
cos
a
x
]
where
U
0
and a are constants. The time period of small oscillations of the particle about the mean position:
Q.
A particle of mass
m
moves in a one-dimensional potential energy
U
(
x
)
=
−
a
x
2
+
b
x
4
, where '
a
' and '
b
' are positive constants. The angular frequency of small oscillations about the minima of the potential energy is equal to
Q.
A particle of mass m is located in a one dimensional potential field where potential energy is given by U(x) = A(1 - cos px), where A and p are constants. The period of small oscillations of the particle
Q.
A particle of mass
m
is located in a one dimensional field where potential energy is given by:
V
(
x
)
=
A
(
1
−
cos
p
x
)
where
A
and
p
are constants.
The period of small oscillations of the particle is
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