Home
Class 12
PHYSICS
A particle with total energy E moves in ...

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

`U=E`

B

`U=0`

C

`(dU)/(dx)=0`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
For acceleration `=0`so `F_(n et)=0`
`rArr(dU)/(dx)=0`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle with total energy E moves in one dimensional region where the potential energy is U(x) The speed of the particle is zero where

Give the direction of acceleration of SHM particle.

Consider a one -dimensional motion of a particle with total energy E. There are four regions A,B,C and D in which the relation between potential energy E. There are four regions A,B,C and D in which the relation between potential energy V, kinetic energy (K) and total energy E is as given below Region A : V gt E Region B: V lt E Region C :K gt E Region D : V gt E . State with reasons in each

The total energy of an electron in second excited state is - 2E. What is potential energy with proper sign in this state?

For a moving paritcle, the relation between time and position is given by t = Ax ^(2) + Bx. Where A and B are contants. Find the acceleration of the particle as a function of velocity.

A particle with the potentila energy shown in the graph is moving to the right. It has 1.0J of kinetic energy at x=1.0m. Where the particle reverses its direction of motion?

A particle of mass m is in a uni-directional potential field where the potential energy of a particle depends on the x-coordinate given by phi_(x)=phi_(0) (1- cos ax) & 'phi_(0)' and 'a' are constants. Find the physical dimensions of 'a' & phi_(0) .

A particles is in a unidirectional potential field where the potential energy (U) of a particle depends on the x-coordinate given by U_(x)=k(1-cos ax) & k and 'a' are constant. Find the physical dimensions of 'a' & k .

Where is maximum acceleration and zero acceleration of a particle executing SHM?

Total energy of SHM particle…….

ALLEN -TEST PAPER-Exercise (Physics)
  1. A body (intially at rest is falling under gravity. When it loses a gra...

    Text Solution

    |

  2. The graph below shows how the force on a mass depends on the position ...

    Text Solution

    |

  3. A particle with total energy E moves in one direction in a region wher...

    Text Solution

    |

  4. Consider the folllowing graph of potential energy (U) vs position (x) ...

    Text Solution

    |

  5. A chain of uniform mass m and length L is held on a frictionless table...

    Text Solution

    |

  6. A force of magnitude of 30N acting along hat(i)+hat(j)+hat(k), displac...

    Text Solution

    |

  7. A spring of force constant K is cut in two parts at its one third leng...

    Text Solution

    |

  8. A ball of mass m is attached to a string whose other end is fixed. The...

    Text Solution

    |

  9. A block of mass m lies on a horizontal frictionless surface and is att...

    Text Solution

    |

  10. Two bars of masses m(1) and m(2) connected by a non-deformed light spr...

    Text Solution

    |

  11. Power due to a force actoing on a block varies with time t as shown in...

    Text Solution

    |

  12. Two inclined frictionless tracks , one gradual and the other steep mee...

    Text Solution

    |

  13. A particle A is projected verically upwards. Another indentical partic...

    Text Solution

    |

  14. Track OABCD (as shown is figure) is smooth and fixed in vertical plane...

    Text Solution

    |

  15. In the ideal atwood machine arrangement shown, what is the change in k...

    Text Solution

    |

  16. A partical of mass 2kg is moving on the x-axis with a constant mechani...

    Text Solution

    |

  17. A chain of length L and mass m is placed upon a smooth surface. The le...

    Text Solution

    |

  18. Potential energy function along x-axis in a certain force field is giv...

    Text Solution

    |

  19. A pigeon in flight experience a force of air resistance given by F=bv^...

    Text Solution

    |

  20. A potential energy curve U(x) is shown in the figure. What value must ...

    Text Solution

    |