Home
Class 12
PHYSICS
The potential energy function for the fo...

The potential energy function for the force between two atoms in a diatomic molecule is approximate given by `U(r) = (a)/(r^(12)) - (b)/(r^(6))`, where `a` and `b` are constants and `r` is the distance between the atoms. If the dissociation energy of the molecule is `D = [U (r = oo)- U_("at equilibrium")],D` is

A

` (b ^(2))/(2a )`

B

`(b ^(2))/(12a)`

C

`(b ^(2))/(4a)`

D

`(b ^(2))/(6a)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HEAT-2

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|30 Videos
  • HEAT-2

    MOTION|Exercise EXERCISE-3 (LEVEL-II)|15 Videos
  • HEAT TRANSFER & THERMAL EXPANSION

    MOTION|Exercise Exercise - 3 Section-B|19 Videos
  • HYDROSTATIC, FLUID MECHANICS & VISCOSITY

    MOTION|Exercise EXERCISE -3 (SECTION-B) PREVIOUS YEAR PROBLEM|7 Videos

Similar Questions

Explore conceptually related problems

The potential energy function for the force between two atoms in a diatomic molecule is approximately given by U(x) =a/x^(12)-b/x^(6) where a and b are constant and x is the distance between the atoms. Find the dissoociation energy of the molecule which is given as D=[U(x- infty)-U_(at equilibrium)]

The potential energy funtions for the force between two along in a distance molecule is approximatily given by U(x) = (a)/(x^(12)) - b)/(x^(6)) where a and b are constant and x is the distance between the aloms , if the discision energy of the molecale is D = [U(x = oo) - U atequlibrium ] , D is

If potential energy function for the force between two atoms in a diatomic molecule is approximately given by U(x)=(a)/(x^(8))-(b)/(x^(4)) , where a and b are constants in standard SI units and x in meters. Find the dissociation energy of the molecule (in J). ["Take a "="4 J m"^(8) and b="20 J m"^(4)]

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 function for the force between two in a diatomic molecule can approximately be expressed as U(x)=(a)/(x^(12))-(b)/(x^(4)) , where a and b are positive constants, and x is the distance between the atoms. Answer the following question by selecting most appropriate alternative. The dissociation energy of the molecule is (initially molecule is at rest at equilibrium)

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 the force between two in a diatomic molecule can approximately be expressed as U(x)=(a)/(x^(12))-(b)/(x^(4)) , where a and b are positive constants, and x is the distance between the atoms. Answer the following question by selecting most appropriate alternative. The graph between potential energy vs x will be

The potential energy function for the force between two in a diatomic molecule can approximately be expressed as U(x)=(a)/(x^(12))-(b)/(x^(4)) , where a and b are positive constants, and x is the distance between the atoms. Answer the following question by selecting most appropriate alternative. The graph between force between the atoms [F(x)] vs x will be

The potential energy between two atoms in a molecule is given by U=ax^(2)-bx^(2) where a and b are positive constants and x is the distance between the atoms. The atom is in stable equilibrium when x is equal to :-

In a molecule, the potential energy between two atoms is given by U (x) = (1)/(x^(12)) -(b)/(x^(6)) . Where 'a' and 'b' are positive constants and 'x' is the distance between atoms. Find the value of 'x' at which force is zero and minimim P.E at that point.

MOTION-HEAT-2 -EXERCISE-4 (LEVEL-I)
  1. The net work on the gas in the cycle ABCDA is (see above figure)

    Text Solution

    |

  2. One kg of a diatomic gas is at pressure of 8xx10^4N//m^2. The density ...

    Text Solution

    |

  3. The potential energy function for the force between two atoms in a dia...

    Text Solution

    |

  4. Three perfect gases at absolute temperature T(1), T(2) and T(3) are mi...

    Text Solution

    |

  5. A carnot engine operating between temperatures T(1) and T(2) has effic...

    Text Solution

    |

  6. A thermally insulated vessel contains an ideal gas of molecular mass M...

    Text Solution

    |

  7. A container with insulating walls is divided into two equal parts by a...

    Text Solution

    |

  8. The specific heat capacity of a metal at low temperature (T) is given ...

    Text Solution

    |

  9. A Carnot engine, whose efficiency is 40%, takes in heat from a source ...

    Text Solution

    |

  10. Helium gas goes through a cycle ABCDA (consisting of two isochoric and...

    Text Solution

    |

  11. The above p-v diagram represents the thermodynamic cycle of an engine,...

    Text Solution

    |

  12. An ideal gas enclosed in a vertical cylindrical container supports a f...

    Text Solution

    |

  13. If a piece of metal is heated to temperature theta and the allowed to ...

    Text Solution

    |

  14. An open glass tube is immersed in mercury in such a way that a length ...

    Text Solution

    |

  15. One mole of a diatomic ideal gas undergoes a cyclic process ABC as sho...

    Text Solution

    |

  16. Consider an ideal gas confined in an isolated closed chamber. As the g...

    Text Solution

    |

  17. A solid body of constant heat capacity 1J//^@C is being heated by keep...

    Text Solution

    |

  18. n' moles of an ideal gas undergoes a process AtoB as shown in the figu...

    Text Solution

    |

  19. An ideal gas under goes a quasi static, reversible process in which it...

    Text Solution

    |

  20. C(p) nad C(v) are specific heats at constant pressure and constant vol...

    Text Solution

    |