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

A small particle of mass m moves in such a way that its potential energy `U=1/2momega^2r^2` where `omega` is constant and r is the distance of the particle from origin.Assuming Bohr's quantization of momentum and circular orbit,the radius of n^th orbit will be proportional to

A

`1/n`

B

`sqrtn`

C

`n^2`

D

`n`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|492 Videos
  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|22 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 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 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 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 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 :

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

A particle of mass m moves in a circular orbit under the central potential field, U(r)==-C/r, where C is a positive constant. The correct radius -velocity graph of the particle's motion is.

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. A body cools in 7 minutes from 60^@C to 40^@C.The temperature of the s...

    Text Solution

    |

  2. The work functions of Aluminium and Gold are 4.1 eV and 5.1 eV respect...

    Text Solution

    |

  3. A small particle of mass m moves in such a way that its potential ener...

    Text Solution

    |

  4. for an amplitude modulated wave the minimum amplitude is 3V,while the ...

    Text Solution

    |

  5. A dipole comprises of two charged particles of identical magnitude q a...

    Text Solution

    |

  6. As shown in the figure,a particle is moving with constant speed pi m/s...

    Text Solution

    |

  7. Given below are two statements :one is labelled as Assertion A and the...

    Text Solution

    |

  8. A simple pendulum with length 100 cm and bob of mass 250 g is executin...

    Text Solution

    |

  9. Two concentric circular coils with radii 1cm and 1000cm, and number of...

    Text Solution

    |

  10. A metal block of mass m is suspended from a rigid support through a me...

    Text Solution

    |

  11. As shown in the figure,the voltmeter reads 2V across 5 Omega resistor....

    Text Solution

    |

  12. A beam of light consisting of two wavelengths 7000 dot A and 5500 dot ...

    Text Solution

    |

  13. Experimentally it is found that 12.8 eV energy is required to separate...

    Text Solution

    |

  14. A ring and a solid sphere rotating about an axis passing through their...

    Text Solution

    |

  15. A bosy is dropped on ground from a height 'h1' and after hitting the g...

    Text Solution

    |

  16. A proton with a kinetic energy of 2.0 eV moves into a region of unifor...

    Text Solution

    |

  17. As shown in the figure,two parallel plate capacitors having equal plat...

    Text Solution

    |

  18. In a reflecting telescope, a secondary mirror is used to :

    Text Solution

    |

  19. Given below are two statements : ,br> Statement I: If heat is added to...

    Text Solution

    |

  20. The weight of a body on the earth is 400 N.Then weight of the body whe...

    Text Solution

    |