Home
Class 12
PHYSICS
If the potential energy of a gas molecul...

If the potential energy of a gas molecule is `U=(M)/(r^(6))-(N)/(r^(12)),M ` and `N` being positive constants, then the potential energy at equilibrium must be

A

zero

B

`(M^(2))/(4N)`

C

`(N^(2))/(4M)`

D

`(MN^(2))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER, AND ENERGY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (More than one choice correct type)|10 Videos
  • WORK, POWER, AND ENERGY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Linked Comprehension)|9 Videos
  • WORK, POWER, AND ENERGY

    RESNICK AND HALLIDAY|Exercise PROBLEMS|58 Videos
  • WAVES-I

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type)|4 Videos

Similar Questions

Explore conceptually related problems

If the potential energy of a gas molecule is U=(M)/(r^(6))-(N)/(r^(12)),M and N being positive constants, then the potential energy at equlibrium must be

If the potential energy of a gas molecules is given by U = (X)/(r^(4)) - Y/(r^(8)) where X and Y are constants and are positive. Calculate the otential energy at equilibrium .

A particle located in one dimensional potential field has potential energy function U(x)=(a)/(x^(2))-(b)/(x^(3)) , where a and b are positive constants. The position of equilibrium corresponds to x equal to

A particle located in a one-dimensional potential field has its potential energy function as U(x)=(a)/(x^4)-(b)/(x^2) , where a and b are positive constants. The position of equilibrium x corresponds to

The potential energy of a particle in a force field is: U = (A)/(r^(2)) - (B)/(r ) ,. Where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium the distance of the particle is

The potential energy between two atoms in a molecule is given by U(x)= (1)/(x^(12))-(b)^(x^(6)) , where a and b are positive constants and x is the distance between the atoms. The atom is in stable equilibirum when

The potential energy between two atoms in a molecule is given by, U_((x))=(a)/x^(12)-(b)/x^(6) , where a and b are positive constant and x is the distance between the atoms. The atoms is an stable equilibrium, when-

The potential energy function for a diatomic molecule is U(x) =(a)/(x^(12)) - (b)/(x^(6)) . In stable equilibrium, the distance between the particles is .

RESNICK AND HALLIDAY-WORK, POWER, AND ENERGY-PRACTICE QUESTIONS (Single Correct Choice Type)
  1. A skier slides horizontally along the snow for a distance of 21 m befo...

    Text Solution

    |

  2. An automobile approaches a barrier at a speed of 20 m/s along a level ...

    Text Solution

    |

  3. A 1900-kg car experiences a combined force of air resistance and frict...

    Text Solution

    |

  4. A block m is kept stationary on the surface of an accelerating cage as...

    Text Solution

    |

  5. A racing car with a mass of 500.0 kg starts is from rest and completes...

    Text Solution

    |

  6. A tennis ball dropped on a barizoontal smooth surface , it because bac...

    Text Solution

    |

  7. A 1.00xx10^(2) kg crate is being pushed across a horizontal floor by a...

    Text Solution

    |

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

    Text Solution

    |

  9. A 1500-kg elevator moves upward with constant speed through a vertica...

    Text Solution

    |

  10. Two balls of equal size are dropped from the same height from the roof...

    Text Solution

    |

  11. A woman stands on the edge of a cliff and throws a stone vertically do...

    Text Solution

    |

  12. A stone rolls off the roof of a School hall and falls vartically. Just...

    Text Solution

    |

  13. A skier leaves the top of a slope with an initial speed of 5.0 m/s. He...

    Text Solution

    |

  14. A 55.0-kg skateboarder starts out with a speed of 1.80 m/s. He does +8...

    Text Solution

    |

  15. A particle which is constant to move along the x- axis , is subjected ...

    Text Solution

    |

  16. A bullet fired into a fixed target loses half of its velocity after pe...

    Text Solution

    |

  17. A particle of mass m is moving in a horizontal circle of radius r, und...

    Text Solution

    |

  18. The potential energy function for a diatomic molecule is U(x) =(a)/(x^...

    Text Solution

    |

  19. A block is dropped from a high tower and is falling freely under the i...

    Text Solution

    |

  20. If the potential energy of a gas molecule is U=(M)/(r^(6))-(N)/(r^(12)...

    Text Solution

    |