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

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

A

`frac{2a}{b}`

B

`frac{3a}{2b}`

C

`frac{a}{2b}`

D

`frac{a}{b}`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • TEST 2

    AAKASH INSTITUTE ENGLISH|Exercise Exercise|308 Videos
  • TEST 4

    AAKASH INSTITUTE ENGLISH|Exercise EXAMPLE|89 Videos

Similar Questions

Explore conceptually related problems

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 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.

The potential energy function of a particle is given by U(r)=A/(2r^(2))-B/(3r) , where A and B are constant and r is the radial distance from the centre of the force. Choose the correct option (s)

The potential energy of a conservative force field is given by U=ax^(2)-bx where, a and b are positive constants. Find the equilibrium position and discuss whether the equilibrium is stable, unstable or neutral.

The potential energy of a particle under a conservative force is given by U ( x) = ( x^(2) -3x) J. The equilibrium position of the particle is at

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 :

The potential energy of a particle is determined by the expression U=alpha(x^2+y^2) , where alpha is a positive constant. The particle begins to move from a point with coordinates (3, 3) , only under the action of potential field force. Then its kinetic energy T at the instant when the particle is at a point with the coordinates (1,1) is

A system consits of a uniformly charged sphere of radius R and a surrounding medium filled by a charge with the volume density rho=alpha/r , where alpha is a positive constant and r is the distance from the centre of the sphere. Find the charge of the sphere for which the electric field intensity E outside the sphere is independent of R.

The potential energy of a two particle system separated by a distance r is given by U(r ) =A/r where A is a constant. Find to the radial force F_(r) , that each particle exerts on the other.

An insulating solid sphere of the radius R is charged in a non - uniform manner such that the volume charge density rho=(A)/(r ) , where A is a positive constant and r is the distance from the centre. The potential difference between the centre and surface of the sphere is

AAKASH INSTITUTE ENGLISH-TEST 3-EXAMPLE
  1. A particle of mass 200g is attached to an ideal string of length 1.30 ...

    Text Solution

    |

  2. Two blocks of masses m1 = 4 kg and m2 = 2kg connected by a massless ro...

    Text Solution

    |

  3. The potential energy of a particle in a conservative field is U =a/r^3...

    Text Solution

    |

  4. A particie of mass 10 kg is driven by a machine that delivers a consta...

    Text Solution

    |

  5. A particle moves from point (hati+hatj)m to a point (6hati-2hatj)m und...

    Text Solution

    |

  6. Free end of an ideal spring of spring constant 100 N/m is at a distanc...

    Text Solution

    |

  7. 500 J of work is done in sliding a 4 kg block up along a rough incline...

    Text Solution

    |

  8. If force on a particle vecF = (Sin at)hati + (cos at)hatj and displace...

    Text Solution

    |

  9. A force F acting on an object varies with distancex as shown in figure...

    Text Solution

    |

  10. A particle starts moving from rest along y axis and a variable force F...

    Text Solution

    |

  11. Two bodies of masses m and 2m are moving along positive x and y axes r...

    Text Solution

    |

  12. A bullet of mass 0.05 kg moving with velocity 400 m/s gets embedded af...

    Text Solution

    |

  13. A particle of mass 2 kg is projected vertically upward with a velocity...

    Text Solution

    |

  14. Potential energy of an ideal spring, when stretched by 1 cm is U. Spri...

    Text Solution

    |

  15. A body is displaced from position (hati+hatj+hatk) m to position (4hat...

    Text Solution

    |

  16. A particle of mass 2 kg starts motion at time t = 0 under the action o...

    Text Solution

    |

  17. Two spherical balls of masses m1 and m2 collide as shown in figure. Af...

    Text Solution

    |

  18. When kinetic energy of a body is increased by 800%, then percentage ch...

    Text Solution

    |

  19. A small ball of mass m is released in a smooth circular tube as shown ...

    Text Solution

    |

  20. A block of mass m moving on a fixed smooth hemisphere of rudius R. If ...

    Text Solution

    |