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=(Asqrtx)/(x+B)`, where A and B are constants The dimensions of A and B are respectively

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:
A
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B)|31 Videos

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C)|31 Videos

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|20 Videos

  • THERMODYNAMICS

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

  • WAVE OPTICS

    AAKASH INSTITUTE ENGLISH|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 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 U = (A sqrt(x))/( x^(2) + B) , where A and B are dimensional constants , then find the dimensional formula for AB .

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

The potential energy of a particle of mass ? at a distance ? from a fixed point ? is given by V(r)=kr^(2)//2 , where ? is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius ? about the point ?. If ? is the speed of the particle and ? is the magnitude of its angular momentum about ?, which of the following statements is (are) true?

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

When a wave transverses in a medium, the displacement of a particle located at distance x at time t is given by y=a sin (bt-cx) where a, b and c are constants of the wave. The dimension of b//c are same as that of:

The potential energy of a particle varies with position X according to the relation U(x) = [(X^3/3)-(3X^2/2)+2X] then

The potential energy of a particle in a conservative field is U =a/r^3-b/r^2, where a and b are positive constants and r is the distance of particle from the centre of field. For equilibrium, the value of r is

The potential energy of a particle in a certain field has the form U=(a//r^2)-(b//r) , where a and b are positive constants and r is the distance from the centre of the field. Find the value of r_0 corresponding to the equilibrium position of the particle, examine whether this position is stable.

AAKASH INSTITUTE ENGLISH-UNITS AND MEASUREMENTS-ASSIGNMENT (SECTION - A)
  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 relative refractive index is

    Text Solution

    |

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

    Text Solution

    |

  11. The buoyant force F acting on a body depends on the density of medium ...

    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)e^(-a...

    Text Solution

    |

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

    Text Solution

    |

  17. Which of the following is a dimensional constant?

    Text Solution

    |

  18. Dimension of solar constant is:

    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

    |