Home
Class 11
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 dimension of AB are

A

`ML^(5//2) T^-2`

B

`ML^2 T^-2`

C

`M^(3//2) L^(3//2)T^-2`

D

`ML^(7//2) T^-2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYDROSTATICS, VISCOSITY AND SURFACE TENSION (HYDRODYNAMICS)

    PATHFINDER|Exercise QUESTION BANK|198 Videos
  • KINEMATICS-I

    PATHFINDER|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

The potential energy U of a particle varies with its distance x from a predefined origin as U = (Asqrt(x))/(x+B) , where A and B are constants . Find out the dimension of the quantity AB.

prove that E(ax+b)=aE(x)+b where a and b are constants

The potential energy of a particle of mass 0.02 kg moving along x -axis is given by V = Ax(x - 4) J where x is in metres and A is a constant. Which of the following is/are correct statement (s)? (A) The particle is acted upon by a constant force. (B) The particle executes simple harmonic motion. (C) The speed of the particle is maximum at x = 2 m. (D) The period of oscillation of the particle is pi/5 sec.

Potential energy of a particle is 1/2momega^(2)x^(2) , where m and omega are constants. Prove that the motion of the particle is simple harmonic.

Find the differential equation of y = Ax + (B)/(x) , where A and B are arbitrary constants .

The kinetic energy of a particle is 1/2momega^(2)(A^(2)-x^(2)) , where m, omega and A are constants. Prove that the motion of the particle is simple harmonic.

The refractive index ( mu ) of glass is related to the wavelength (lambda) of incident light as mu = A +(B)/(lambda^(2)) , where A and B are constants. Find out the dimensions of A and B.

A particle of mass m is located in a one dimensional potential field where potential energy is given by V(x) = A(1- cos Px) , where A and P are constant . The period of small oscillations of the particle is

PATHFINDER-KINEMATICS - II-QUESTION BANK
  1. The volume of a cube in m^3 is numerically equal to its surface area i...

    Text Solution

    |

  2. A unitless quantify

    Text Solution

    |

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

    Text Solution

    |

  4. The dimensions of magnetic induction field are

    Text Solution

    |

  5. The mass of a beaker is found to be (50.3+-0.2) gm when empty and (59....

    Text Solution

    |

  6. The radius of a sphere is (5.3+-0.1)cm . The percentage error in its v...

    Text Solution

    |

  7. suppose the torque acting on a body is given by tau=K.L+(ML)/omega, wh...

    Text Solution

    |

  8. A measured value 0.00274 expressed in two significant digits is

    Text Solution

    |

  9. The least count of a stop watch is 1/5 s. The time of 20 oscillations ...

    Text Solution

    |

  10. The breadth of a thin rectangular sheet is measured as 10.1cm. The app...

    Text Solution

    |

  11. In case of measurement of 'g', if error measurement of length of pendu...

    Text Solution

    |

  12. If length of pendulum is increased 2%. The time period

    Text Solution

    |

  13. A experiment measures quantities a ,b,c and x is calculated from x=ab^...

    Text Solution

    |

  14. A wire of length l=6+-0.06 cm and radius r=0.5+-0.005cm and mass m=0.3...

    Text Solution

    |

  15. The measurement of radius of a circle has error of 1%. The error in me...

    Text Solution

    |

  16. If radiation correction is not considered in specific heat measurement...

    Text Solution

    |

  17. [ML^-1 T^-2] is the dimensional formula of :

    Text Solution

    |

  18. The dimensional formula of coefficient of viscosity is

    Text Solution

    |

  19. On the basis of dimensional equation , the maximum number of unknown t...

    Text Solution

    |

  20. If v stands for velocity of sound,E is elasticity and b the density, t...

    Text Solution

    |