Home
Class 12
PHYSICS
The potential enery of a particle varies...

The potential enery of a particle varies with posiion `x` according to the relation `U(x) = 2x^(4) - 27 x` the point `x = (3)/(2)` is point of

A

unstable equilibrium

B

stable equilibrium

C

neutral equilibrium

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA NEET SET 116

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos
  • NTA NEET SET 23

    NTA MOCK TESTS|Exercise PHYSICS|45 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a particle varies with x according to the reltiaon U(x) =x^(2)-4x . The point x =2 is a point of

Potential energy of a particle varies with x according to the relation U(x)=x^(2)-4x .The point "x=2" is a point of

The position x of a particle varies with time t according to the relation x=t^3+3t^2+2t . Find the velocity and acceleration as functions of time.

The potential energy of a 4kg particle free to move along the x-axis varies with x according to following relationship : U(x) = ((x^(3))/(3)-(5x^(2))/(2)+6x+3) Joules, where x is in meters. If the total mechanical energy of the particle is 25.5 Joules, then the maximum speed of the particle is x m//s , find x

The disperod of a particle varies according to the relation x=4 (cos pit+ sinpit) . The amplitude of the particle 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.

The displacement of the particle varies with time according to the relation x=(k)/(b)[1-e^(-ht)] . Then the velocity of the particle is

The potential energy of a particle of mass 2 kg moving along the x-axis is given by U(x) = 4x^2 - 2x^3 ( where U is in joules and x is in meters). The kinetic energy of the particle is maximum at

The displacement x of a particle varies with time according to the relation x=(a)/(b)(1-e^(-bt)) . Then select the false alternative.

NTA MOCK TESTS-NTA NEET SET 19-PHYSICS
  1. A disc of mass 4 kg and of radius 1 m rolls on a horizontal surface wi...

    Text Solution

    |

  2. A rod of mass M kg and length L m is bent in the from of an equilatera...

    Text Solution

    |

  3. A horizontal plane supports a fixed vertical cylinder of radius R and ...

    Text Solution

    |

  4. A cylinder rolls up an inclined plane, reaches some height, and then r...

    Text Solution

    |

  5. A block is placed on an inclined plane moving towards right horizontal...

    Text Solution

    |

  6. A billiard ball moving at a speed of 6.6 ms–1 strikes an identical sta...

    Text Solution

    |

  7. For proper ventilation of building, windows must be open near the bott...

    Text Solution

    |

  8. A block of mass 2 kg is kept at origin at t = 0 and is having velocity...

    Text Solution

    |

  9. A stone of mass 500g is dropped from the top of a tower of 100m height...

    Text Solution

    |

  10. One end of a spring of force constant k is fixed to a vertical wall an...

    Text Solution

    |

  11. The period of oscillations of a magnet is 2 sec. When it is remagnetis...

    Text Solution

    |

  12. An P-N-P transistor circuit is arranged as shown. It is a

    Text Solution

    |

  13. A particle is thrown over a triangle from one end of a horizontal base...

    Text Solution

    |

  14. The system is pushed by a force F as shown in figure. All surfaces are...

    Text Solution

    |

  15. The potential enery of a particle varies with posiion x according to t...

    Text Solution

    |

  16. Find the quantum number n corresponding to the excited state of He^(+)...

    Text Solution

    |

  17. A free neutron decays into a proton, an electron and

    Text Solution

    |

  18. Photons of energy 6 eV are incident on a metal surface whose work func...

    Text Solution

    |

  19. A slit of width a is illuminiated by white light. The first diffractio...

    Text Solution

    |

  20. A concave lens of glass, refractive index 1.5 has both surfaces of sam...

    Text Solution

    |