The Concept of Potential Energy
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PHXI06:WORK ENERGY AND POWER

355576 In the figure shown the potential energy \(U\) of a particle is plotted against its position ' \(x\) ' from origin. Then which of the following statement is correct. A particle at -
supporting img

1 \(x_{1}\) is in stable equilibrium
2 \(x_{2}\) is in stable equilibrium
3 \(x_{3}\) is in stable equilibrium
4 None of these
PHXI06:WORK ENERGY AND POWER

355577 The potential energy of a particle moving along \(x\)-axis is given \(U=20+5 \sin (4 \pi x)\), where \(U\) is in \(J\) and \(x\) is in metre under the action of conservative force:

1 If total mechanical energy is 20 \(J\), then at \(x = \frac{7}{8}\;m\), particle is at equilibrium
2 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{2}\;m\), particle is not at equilibrium
3 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{3}\;m\), particle is at equilibrium
4 If total mechanical energy is 20 \(J\), then at \(x = \frac{3}{8}\;m\), particle is not at equilibrium
PHXI06:WORK ENERGY AND POWER

355578 A particle in a certain conservative field has potential energy \(U=\dfrac{x^{2} y}{4}\). The force on the particle is

1 \(-x y \hat{i}-x^{2} \hat{j}\)
2 \(-\dfrac{x y}{2} \hat{i}-\dfrac{x^{2}}{4} \hat{j}\)
3 \(F=\dfrac{-x y}{2} \hat{i}+x \hat{j}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355579 Potential energy as a function of \(r\) is given by \(U=\dfrac{A}{r^{10}}-\dfrac{B}{r^{5}}\), where \(r\) is the interatomic distance, \(A\) and \(B\) are positive constants. The equilibrium distance between the two atoms will be:

1 \(\left(\dfrac{A}{B}\right)^{\dfrac{1}{5}}\)
2 \(\left(\dfrac{B}{A}\right)^{\dfrac{1}{5}}\)
3 \(\left(\dfrac{2 A}{B}\right)^{\dfrac{1}{5}}\)
4 \(\left(\dfrac{B}{2 A}\right)^{\dfrac{1}{5}}\)
JEE - 2022
PHXI06:WORK ENERGY AND POWER

355580 In the graph shown, the \(P.E\) of earth satellite system is shown by a solid line as a function of distance \(r\) (separation between centres). The total energy of the two objects which may or may not be bounded to the earth are shown in the figure with dotted lines.
supporting img

1 The object having the total energy \(E_{1}\) is bounded one.
2 The object having the total energy \(E_{2}\) is bounded one.
3 Both the objects are bounded.
4 Both the objects are unbounded.
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PHXI06:WORK ENERGY AND POWER

355576 In the figure shown the potential energy \(U\) of a particle is plotted against its position ' \(x\) ' from origin. Then which of the following statement is correct. A particle at -
supporting img

1 \(x_{1}\) is in stable equilibrium
2 \(x_{2}\) is in stable equilibrium
3 \(x_{3}\) is in stable equilibrium
4 None of these
PHXI06:WORK ENERGY AND POWER

355577 The potential energy of a particle moving along \(x\)-axis is given \(U=20+5 \sin (4 \pi x)\), where \(U\) is in \(J\) and \(x\) is in metre under the action of conservative force:

1 If total mechanical energy is 20 \(J\), then at \(x = \frac{7}{8}\;m\), particle is at equilibrium
2 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{2}\;m\), particle is not at equilibrium
3 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{3}\;m\), particle is at equilibrium
4 If total mechanical energy is 20 \(J\), then at \(x = \frac{3}{8}\;m\), particle is not at equilibrium
PHXI06:WORK ENERGY AND POWER

355578 A particle in a certain conservative field has potential energy \(U=\dfrac{x^{2} y}{4}\). The force on the particle is

1 \(-x y \hat{i}-x^{2} \hat{j}\)
2 \(-\dfrac{x y}{2} \hat{i}-\dfrac{x^{2}}{4} \hat{j}\)
3 \(F=\dfrac{-x y}{2} \hat{i}+x \hat{j}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355579 Potential energy as a function of \(r\) is given by \(U=\dfrac{A}{r^{10}}-\dfrac{B}{r^{5}}\), where \(r\) is the interatomic distance, \(A\) and \(B\) are positive constants. The equilibrium distance between the two atoms will be:

1 \(\left(\dfrac{A}{B}\right)^{\dfrac{1}{5}}\)
2 \(\left(\dfrac{B}{A}\right)^{\dfrac{1}{5}}\)
3 \(\left(\dfrac{2 A}{B}\right)^{\dfrac{1}{5}}\)
4 \(\left(\dfrac{B}{2 A}\right)^{\dfrac{1}{5}}\)
JEE - 2022
PHXI06:WORK ENERGY AND POWER

355580 In the graph shown, the \(P.E\) of earth satellite system is shown by a solid line as a function of distance \(r\) (separation between centres). The total energy of the two objects which may or may not be bounded to the earth are shown in the figure with dotted lines.
supporting img

1 The object having the total energy \(E_{1}\) is bounded one.
2 The object having the total energy \(E_{2}\) is bounded one.
3 Both the objects are bounded.
4 Both the objects are unbounded.
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PHXI06:WORK ENERGY AND POWER

355576 In the figure shown the potential energy \(U\) of a particle is plotted against its position ' \(x\) ' from origin. Then which of the following statement is correct. A particle at -
supporting img

1 \(x_{1}\) is in stable equilibrium
2 \(x_{2}\) is in stable equilibrium
3 \(x_{3}\) is in stable equilibrium
4 None of these
PHXI06:WORK ENERGY AND POWER

355577 The potential energy of a particle moving along \(x\)-axis is given \(U=20+5 \sin (4 \pi x)\), where \(U\) is in \(J\) and \(x\) is in metre under the action of conservative force:

1 If total mechanical energy is 20 \(J\), then at \(x = \frac{7}{8}\;m\), particle is at equilibrium
2 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{2}\;m\), particle is not at equilibrium
3 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{3}\;m\), particle is at equilibrium
4 If total mechanical energy is 20 \(J\), then at \(x = \frac{3}{8}\;m\), particle is not at equilibrium
PHXI06:WORK ENERGY AND POWER

355578 A particle in a certain conservative field has potential energy \(U=\dfrac{x^{2} y}{4}\). The force on the particle is

1 \(-x y \hat{i}-x^{2} \hat{j}\)
2 \(-\dfrac{x y}{2} \hat{i}-\dfrac{x^{2}}{4} \hat{j}\)
3 \(F=\dfrac{-x y}{2} \hat{i}+x \hat{j}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355579 Potential energy as a function of \(r\) is given by \(U=\dfrac{A}{r^{10}}-\dfrac{B}{r^{5}}\), where \(r\) is the interatomic distance, \(A\) and \(B\) are positive constants. The equilibrium distance between the two atoms will be:

1 \(\left(\dfrac{A}{B}\right)^{\dfrac{1}{5}}\)
2 \(\left(\dfrac{B}{A}\right)^{\dfrac{1}{5}}\)
3 \(\left(\dfrac{2 A}{B}\right)^{\dfrac{1}{5}}\)
4 \(\left(\dfrac{B}{2 A}\right)^{\dfrac{1}{5}}\)
JEE - 2022
PHXI06:WORK ENERGY AND POWER

355580 In the graph shown, the \(P.E\) of earth satellite system is shown by a solid line as a function of distance \(r\) (separation between centres). The total energy of the two objects which may or may not be bounded to the earth are shown in the figure with dotted lines.
supporting img

1 The object having the total energy \(E_{1}\) is bounded one.
2 The object having the total energy \(E_{2}\) is bounded one.
3 Both the objects are bounded.
4 Both the objects are unbounded.
NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355576 In the figure shown the potential energy \(U\) of a particle is plotted against its position ' \(x\) ' from origin. Then which of the following statement is correct. A particle at -
supporting img

1 \(x_{1}\) is in stable equilibrium
2 \(x_{2}\) is in stable equilibrium
3 \(x_{3}\) is in stable equilibrium
4 None of these
PHXI06:WORK ENERGY AND POWER

355577 The potential energy of a particle moving along \(x\)-axis is given \(U=20+5 \sin (4 \pi x)\), where \(U\) is in \(J\) and \(x\) is in metre under the action of conservative force:

1 If total mechanical energy is 20 \(J\), then at \(x = \frac{7}{8}\;m\), particle is at equilibrium
2 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{2}\;m\), particle is not at equilibrium
3 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{3}\;m\), particle is at equilibrium
4 If total mechanical energy is 20 \(J\), then at \(x = \frac{3}{8}\;m\), particle is not at equilibrium
PHXI06:WORK ENERGY AND POWER

355578 A particle in a certain conservative field has potential energy \(U=\dfrac{x^{2} y}{4}\). The force on the particle is

1 \(-x y \hat{i}-x^{2} \hat{j}\)
2 \(-\dfrac{x y}{2} \hat{i}-\dfrac{x^{2}}{4} \hat{j}\)
3 \(F=\dfrac{-x y}{2} \hat{i}+x \hat{j}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355579 Potential energy as a function of \(r\) is given by \(U=\dfrac{A}{r^{10}}-\dfrac{B}{r^{5}}\), where \(r\) is the interatomic distance, \(A\) and \(B\) are positive constants. The equilibrium distance between the two atoms will be:

1 \(\left(\dfrac{A}{B}\right)^{\dfrac{1}{5}}\)
2 \(\left(\dfrac{B}{A}\right)^{\dfrac{1}{5}}\)
3 \(\left(\dfrac{2 A}{B}\right)^{\dfrac{1}{5}}\)
4 \(\left(\dfrac{B}{2 A}\right)^{\dfrac{1}{5}}\)
JEE - 2022
PHXI06:WORK ENERGY AND POWER

355580 In the graph shown, the \(P.E\) of earth satellite system is shown by a solid line as a function of distance \(r\) (separation between centres). The total energy of the two objects which may or may not be bounded to the earth are shown in the figure with dotted lines.
supporting img

1 The object having the total energy \(E_{1}\) is bounded one.
2 The object having the total energy \(E_{2}\) is bounded one.
3 Both the objects are bounded.
4 Both the objects are unbounded.
Join With Us for More Updates
PHXI06:WORK ENERGY AND POWER

355576 In the figure shown the potential energy \(U\) of a particle is plotted against its position ' \(x\) ' from origin. Then which of the following statement is correct. A particle at -
supporting img

1 \(x_{1}\) is in stable equilibrium
2 \(x_{2}\) is in stable equilibrium
3 \(x_{3}\) is in stable equilibrium
4 None of these
PHXI06:WORK ENERGY AND POWER

355577 The potential energy of a particle moving along \(x\)-axis is given \(U=20+5 \sin (4 \pi x)\), where \(U\) is in \(J\) and \(x\) is in metre under the action of conservative force:

1 If total mechanical energy is 20 \(J\), then at \(x = \frac{7}{8}\;m\), particle is at equilibrium
2 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{2}\;m\), particle is not at equilibrium
3 If total mechanical energy is 20 \(J\), then at \(x = \frac{1}{3}\;m\), particle is at equilibrium
4 If total mechanical energy is 20 \(J\), then at \(x = \frac{3}{8}\;m\), particle is not at equilibrium
PHXI06:WORK ENERGY AND POWER

355578 A particle in a certain conservative field has potential energy \(U=\dfrac{x^{2} y}{4}\). The force on the particle is

1 \(-x y \hat{i}-x^{2} \hat{j}\)
2 \(-\dfrac{x y}{2} \hat{i}-\dfrac{x^{2}}{4} \hat{j}\)
3 \(F=\dfrac{-x y}{2} \hat{i}+x \hat{j}\)
4 None of these
PHXI06:WORK ENERGY AND POWER

355579 Potential energy as a function of \(r\) is given by \(U=\dfrac{A}{r^{10}}-\dfrac{B}{r^{5}}\), where \(r\) is the interatomic distance, \(A\) and \(B\) are positive constants. The equilibrium distance between the two atoms will be:

1 \(\left(\dfrac{A}{B}\right)^{\dfrac{1}{5}}\)
2 \(\left(\dfrac{B}{A}\right)^{\dfrac{1}{5}}\)
3 \(\left(\dfrac{2 A}{B}\right)^{\dfrac{1}{5}}\)
4 \(\left(\dfrac{B}{2 A}\right)^{\dfrac{1}{5}}\)
JEE - 2022
PHXI06:WORK ENERGY AND POWER

355580 In the graph shown, the \(P.E\) of earth satellite system is shown by a solid line as a function of distance \(r\) (separation between centres). The total energy of the two objects which may or may not be bounded to the earth are shown in the figure with dotted lines.
supporting img

1 The object having the total energy \(E_{1}\) is bounded one.
2 The object having the total energy \(E_{2}\) is bounded one.
3 Both the objects are bounded.
4 Both the objects are unbounded.