Home
Class 12
PHYSICS
The potential energy of a particle varie...

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`.

A

`[ML^(5//2)T^(-2)], [L]`

B

`MLT^(-2)],[L^2]`

C

`[L],[ML^(3//2)T^(-2)]`

D

`[L^2], [MLT^(-2)]`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION B Objective (One option is correct )|45 Videos
  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION C Objective (More than one option is correct )|10 Videos
  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise Try Yourself|82 Videos
  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION -D) (Assertion - Reason Type Questions)|10 Videos
  • WAVE OPTICS

    AAKASH INSTITUTE|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos

Similar Questions

Explore conceptually related problems

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?

If x times momentum is work, then the dimensional formula of x is

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 (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.

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 of a particle varies with x according to the reltiaon U(x) =x^(2)-4x . The point x =2 is a point of

AAKASH INSTITUTE-UNITS AND MEASUREMENTS-ASSIGNMENT SECTION A Objective (One option is correct )
  1. An object of mass 4.237 g occupies a volume 1.72 cm^3. The density of ...

    Text Solution

    |

  2. Round off the value 2.845 to three significant figures

    Text Solution

    |

  3. A length 5.997 m rounded off to three significant figures is written a...

    Text Solution

    |

  4. The order of the magnitude of speed of light in SI unit is

    Text Solution

    |

  5. The values of a number of quantities are used in a mathematical formul...

    Text Solution

    |

  6. What are the dimensions of the change in velocity ?

    Text Solution

    |

  7. The dimensional formula for energy is

    Text Solution

    |

  8. The pair of the quantities having same dimensions is

    Text Solution

    |

  9. The dimensional formula for refractive index is

    Text Solution

    |

  10. The dimensional formula [ML^(-1)T^(-2)] is for the quantity

    Text Solution

    |

  11. In what direction does the buoyant force on an object immersed in a li...

    Text Solution

    |

  12. The dimensionally correct expression for the resistance R among the fo...

    Text Solution

    |

  13. Which of the following does not have dimensions of force?

    Text Solution

    |

  14. The potential energy of a particle varies with distance x from a fixed...

    Text Solution

    |

  15. The time dependence of a physical quantity P is given by P=P(0) exp (-...

    Text Solution

    |

  16. The dimensions of potential energy of an object in mass, length and ti...

    Text Solution

    |

  17. Which of the following is not a dimensional constant ?

    Text Solution

    |

  18. Solar constant is defined as energy received by Earth per cm^(2) per m...

    Text Solution

    |

  19. The amount of heat energy Q, used to heat up a substance depends on it...

    Text Solution

    |

  20. The power of lens is P=1/(f') where f is focal length of the lens. The...

    Text Solution

    |