Home
Class 12
PHYSICS
A particle with total energy E is moving...

A particle with total energy E is moving in a potential energy region U(x). Motion of the particle is restricted to the region when

A

`U(x)=0`

B

`U(x)=E`

C

`(dU(x))/(dx)=0`

D

`(d^(2)U(x))/(dx^(2))=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Total energy `E=K+U` if `K=0` then `U=E`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle with total energy E moves in one direction in a region where, the potential energy is U The acceleration of the particle is zero, where,

A particle of mass m is moved from A to B as show in figure. Then potential energy of the the particle

A particle of mass m moves in the potential energy U shoen above. The period of the motion when the particle has total energy E is

A particle of mass m is present in a region where the potential energy of the particle depends on the x-coordinate according to the expression U=(a)/(x^2)-(b)/(x) , where a and b are positive constant. The particle will perform.

Kinetic energy of a particle on the surface of earth is E_(0) and the potential energy is - 2E_(0) . (a) Will the particle escape to infinity ? (ii) What is the value of potential energy where speed of the particle becomes zero?

A particle is executing simple harmonic motion. Its total energy is proportional to its

A potential energy curve U(x) is shown in the figure. What value must the mechanical energy E_(mec) of the particle not exceed, if the particle is to be trapped within the region shown in graph? .

Kinetic energy of a particle on the surface is E_(0) and potential energy is -E_(0)/(2) . (a) Will the particle escape to infinity ? (b) At some height its kinetic energy becomes 0.6 E_(0) . What is potential energy at this height ? (c) If the particle escape to infinity , what is kinetic energy of the particle at infinity ?

Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose tha E_("mech") = 8 J, the incorrect statement for this system is : A. at x > x_4 , K.E. is constant throughout the region. B. at x C. at x = x_2 , K.E is greatest and the particle is moving at the fastest speed. D. at x = x_3 , K.E. = 4 J

A particle moving on x - axis has potential energy U = 2 - 20x + 5x^(2) joule along x - axis. The particle is relesed at x = -3 . The maximum value of x will be ( x is in metre)

ALLEN-TEST PAPER-Exercise (Physics)
  1. Select the correct alternative.

    Text Solution

    |

  2. A constant force produces maximum velocity V on the block connected to...

    Text Solution

    |

  3. A particle with total energy E is moving in a potential energy region ...

    Text Solution

    |

  4. In figure, the ball A is released from rest, when the spring is at its...

    Text Solution

    |

  5. A charge moving with velocity V in X direction is subjected to a fiel...

    Text Solution

    |

  6. The potential energy for a force filed vecF is given by U(x,y)=cos(x+y...

    Text Solution

    |

  7. The potential energy of a particle of mass 5 kg moving in the x-y plan...

    Text Solution

    |

  8. As a particle moves along the x-axis, it is acted upon by a conservati...

    Text Solution

    |

  9. Water is flowing in a river at 2 m s^(-1). The river is 50 m wide and ...

    Text Solution

    |

  10. Which of the following statemente is / are INCORRECT? (a) Mechanical...

    Text Solution

    |

  11. Consider the following sketch of potential energy for a particle as a ...

    Text Solution

    |

  12. The potential energy of a 1 kg particle free to move along the x-axis ...

    Text Solution

    |

  13. The figure below shows a graph of potential energy U(s) verses positio...

    Text Solution

    |

  14. A force F acting on a body depends on its displacement S as FpropS^(-1...

    Text Solution

    |

  15. If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+2hat(j)+2hat(k), fi...

    Text Solution

    |

  16. An insect starts from (2,3,4) and travels along (hat(i)+2hat(j)+2hat(k...

    Text Solution

    |

  17. For the given vector vec(A)=3hat(i)-4hat(j)+10hat(k), the ratio of mag...

    Text Solution

    |

  18. In the arrangement shown in figure coefficient of friction between 5kg...

    Text Solution

    |

  19. A block is kept at the corner of two walls and force 3N is applied on ...

    Text Solution

    |

  20. A plank of mass 2 kg and length 1 m is placed on horizontal floor.A sm...

    Text Solution

    |