Home
Class 12
MATHS
The potential energy 'U' of a particle v...

The potential energy 'U' of a particle veries with distance 'x' from a fixed origin as `U=(AX)/(x^(2)+B).` Where A and B are dimensional constants. Find the dimension of length in AB.

Text Solution

Verified by Experts

The correct Answer is:
[0005]

`U=(Ax)/(x^(2)+B)`
`therefore[B] =L^(2)`
`ML""^(2)T^(-2)=([A]L)/(L^(2))`
`therefore[A] =ML""^(3)T^(-2)`
`[AB]=ML""^(5)T^(-2)" "]`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise CHEMISTRY|133 Videos
  • TEST PAPERS

    BANSAL|Exercise MATHEMATICS|58 Videos
  • TEST PAPERS

    BANSAL|Exercise MATHS SECTION - 2 [MULTIPLE CORRECT CHOICE TYPE]|6 Videos
  • PROBABILITY

    BANSAL|Exercise All Questions|1 Videos
  • THERMODYNAMICS

    BANSAL|Exercise Match the column|7 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a particle varies with distance x from a fixed origin as U = (A sqrt(x))/( x^(2) + B) , where A and B are dimensional constants , then find the dimensional formula for AB .

The potential energy of a particle varies with distance x from a fixed origin as V= (Asqrt(X))/(X + B) where A and B are constants . The dimension of AB are

The potential energy of a particle depends on its x-coordinates as U=(Asqrt(x))/(x^2 +B) , where A and B are dimensional constants. What will be the dimensional formula for A/B?

The potential energy of a particle varies with distance 'x' as U=(Ax^(1/2))/(x^(2)+B),where A and B are constants.The dimensional formula for A times B is [M^(a)L^(b)T^(c)] then a=

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 (U) of a particle can be expressed in certain case as U=(A^(2))/(2mr^(2))-(BMm)/(r) Where m and M are mass and r is distance. Find the dimensional formulae for constants.

BANSAL-TEST PAPERS-PHYSICS
  1. 4 projectiles are projected with velocities indicated in column II. Ma...

    Text Solution

    |

  2. The velocity time graph of a particles of mass 1 kg is given as shown ...

    Text Solution

    |

  3. The potential energy 'U' of a particle veries with distance 'x' from a...

    Text Solution

    |

  4. The drug coefficient C(v) of an automobile is determined from the expe...

    Text Solution

    |

  5. In a given system of unit standard measurement of mass is 100 gm stand...

    Text Solution

    |

  6. If 2 vectors chati-5hatj+6hatkand chati+chatj-4hatk are perpendicular ...

    Text Solution

    |

  7. A rock is shot vertically upward from the edge of the top of a tall bu...

    Text Solution

    |

  8. Figure gives the acceleration a versus time t for a particle moving al...

    Text Solution

    |

  9. Find longest wavelength in Lyman series of hydrogen atom spectrum.

    Text Solution

    |

  10. The de-Broglie wavelength of an electron moving in the nth Bohr orbit ...

    Text Solution

    |

  11. The activity of a radioactive element reduces to (1//16)th of its orig...

    Text Solution

    |

  12. The total energy of the electron in the hydrogen atom in the ground st...

    Text Solution

    |

  13. A frheshly prepared radioactive source of half life 2 hrs emits radia...

    Text Solution

    |

  14. The average current due to an electron orbiting the proton in the n^(t...

    Text Solution

    |

  15. The radius of the shortest orbit in a one-electron system is 18 pm. It...

    Text Solution

    |

  16. If E1 ,E2 and E3 represent respectively the kinetic energies of an ele...

    Text Solution

    |

  17. The wavelength of first member ofBalmer Series is 6563 Å. Calculate th...

    Text Solution

    |

  18. The x-raybeam emerging iiom anX-ray tube

    Text Solution

    |

  19. A beam of ultraviolet light of all wavelengths passes through hydrogen...

    Text Solution

    |

  20. Photons are incident from vacuum on a transparent material with a refr...

    Text Solution

    |