Home
Class 12
CHEMISTRY
A small particle of mass m moves in such...

A small particle of mass m moves in such a way that `P.E=-1/2mkr^2`, where k is a constant and r is the distance of the particle from origin. Assuming Bohr's model of quantization of angular momentum and circular orbit, r is directly proportional to

A

`n^2`

B

n

C

`sqrtn`

D

None of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 10

    KVPY PREVIOUS YEAR|Exercise EXERCISE|24 Videos

  • MOCK TEST 3

    KVPY PREVIOUS YEAR|Exercise EXERCISE|24 Videos

Similar Questions

Explore conceptually related problems

A small particle of mass m moves in such a way that the potential energy U=ar^(2) where a is a constant and r is the distance of the particle from the origin. Assuming Bohr's model of quantization of angular momentum and circular orbits, find the radius of n^(th) allowed orbit.

A small particle of mass m moves in such a way that the potential energy U = ar^2 , where a is constant and r is the distance of the particle from the origin. Assuming Bhor model of quantization of angular momentum and circular orbits, find the rodius of nth allowed orbit.

A small particle of mass m move in such a way the potential energy U = (1)/(2) m^(2) omega^(2) r^(2) when a is a constant and r is the distance of the particle from the origin Assuming Bohr's model of quantization of angular momentum and circular orbits , show that radius of the nth allowed orbit is proportional to in

A small particle of mass m moves in such a way that the potential energy U=(1)/(2)m omega^(2)r^(2) , where omega is a constant and r is the distance of the particle from the origin. Assuming Bohr's model of quantisation of angular momentum and circular orbits. Find the radius of the n^(th) orbit.

A small particle of mass m , moves in such a way that the potential energy U = ar^(3) , where a is position constant and r is the distance of the particle from the origin. Assuming Rutherford's model of circular orbits, then relation between K.E and P.E of the particle is :

For a hypothetical hydrogen like atom, the potential energy of the system is given by U(r)=(-Ke^(2))/(r^(3)) , where r is the distance between the two particles. If Bohr's model of quantization of angular momentum is applicable then velocity of particle is given by:

A particle of mass m moves in circular orbits with potential energy N(r )=Fr , wjere F is a positive constant and r its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the the n^(th) orbit (here h is the Planck's constant)

A particle of mass m moves around the origin in a potential (1)/(2)momega^(2)r^(2) , where r is the distance from the origin. Applying the Bohr model in this case, the radius of the particle in its n^(th) orbit in terms of a=sqrt(h//2pimomega) is

KVPY PREVIOUS YEAR-MOCK TEST 2-EXERCISE
  1. The major product of the following reaction is

    Text Solution

    |

  2. One mole of N(2)O(4)(g) at 300 K is kept in a closed container under o...

    Text Solution

    |

  3. Anhydrous AlCl3 cannot be obtained from which of the following reactio...

    Text Solution

    |

  4. Copper crystallises in fcc latticewith a unit cell edge of 361 pm. The...

    Text Solution

    |

  5. When a gas is bubbled through water at 298 K, a very dilute solution o...

    Text Solution

    |

  6. A small particle of mass m moves in such a way that P.E=-1/2mkr^2, whe...

    Text Solution

    |

  7. For the reaction C(s) +CO(2)(g) rarr 2CO(g), k(p)=63 atm at 100 K. If ...

    Text Solution

    |

  8. The number of possibel enantiomeric paira that can be produced during ...

    Text Solution

    |

  9. The pair of structures given below represent

    Text Solution

    |

  10. Sn^(4+)+2e^(-)rarrSn^(2+) E^@=0.13 V Br2+2e^(-)rarr2Br^(-) E^@=1.08 V ...

    Text Solution

    |

  11. The electronegativity of four atoms labeled as D,E,F and G are as foll...

    Text Solution

    |

  12. A decimolar solution of pottassium ferrocyanide is 50% dissociated at ...

    Text Solution

    |

  13. The number of moles of KMnO(4) that will be needed to react completely...

    Text Solution

    |

  14. If the unit cell of a mineral has cubic close packed (ccp) array of ox...

    Text Solution

    |

  15. 100 mL of tap water containing Ca(HCO3)2 was titrated with N/50 HCl wi...

    Text Solution

    |

  16. On treatment of 100 mL of 0.1 M solution of COCl(3).6H(2)O with excess...

    Text Solution

    |

  17. Consider the following compounds : (i) IF(5) " " (ii) ClI(4)^(-) "...

    Text Solution

    |

  18. Which one is the correct combination for the given the sets of the com...

    Text Solution

    |

  19. The sodium salt of a carboxylic acid (A) was produced by passing a gas...

    Text Solution

    |

  20. The following reaction is performed at 298 K ? 2NO(g)+O(2)(g)hArr2NO...

    Text Solution

    |