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Work, Power & Energy

Section: Physics
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Question : 8 of 22
 
Marks: +1, -0
A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved.Four possible forms of the potential energy of the particle are given in column I(a and U0 are constants).Match the potential energies i column I to the corresponding statement(s) in column II.
Column I Column II
(A) U1(x)=
U0
2
[1−(
x
a
)2]2		 (P) The force acting on the particle is zero at x=a
(B) U2(x)=
U0
2
(
x
a
)2		 (Q) The force acting on the particle is zero at x=0
(C) U3(x)=
U0
2
(
x
a
)2exp[−(
x
a
)2]		 (R)The force acting on the particle is zero at x=−a
(D) U4(x)=
U0
2
[
x
a
−
1
3
(
x
a
)3]		 (S) The particle experiences an attractive force towardsx=0in the region |x|<a
(T) The particle with the total energy
U0
4
can oscillate about the point x=−a
[JEE Adv 2015 P1]
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