Home
Class 12
PHYSICS
A particle of charge q and mass m is sub...

A particle of charge q and mass m is subjected to an electric field `E=E_(0)(1-ax^(2))` in the x - direction, where a and `E_(0)` are constants. Initially the particle was at rest at x = 0. Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is :

A

a

B

`sqrt((2)/(a))`

C

`sqrt((3)/(a))`

D

`sqrt((1)/(a))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise Chemistry|1 Videos

Similar Questions

Explore conceptually related problems

A charged particle of chage q released in electric field E= E_0(1-ax^2) from origin. find position when its kinetic energy again becomes zero.

A particle of mass m is acted upon by a force F= t^2-kx . Initially , the particle is at rest at the origin. Then

A particle moving along the x axis is acted upon by a single force F = F_0 e^(-kx) , where F_0 and k are constants. The particle is released from rest at x = 0. It will attain a maximum kinetic energy of :

A particle of charge q and mass m moves rectilinearly under the action of an electric field E= alpha- beta x . Here, alpha and beta are positive constants and x is the distance from the point where the particle was initially at rest. Then: (1) the motion of the particle is oscillatory with amplitude (alpha)/(beta) (2) the mean position of the particles is at x= (alpha)/(beta) (3) the maximum acceleration of the particle is (q alpha)/(m) (4) All 1, 2 and 3

A particle of charge q and mass m moves along the x-axis under the action of an electric field E=k-cx , where 'c' is a positive constant and x is the distance from the point, where the particle was initially at rest. Calculate: (a) distance travelled by the particle before it comes to rest. (b) acceleration at the moment, when it comes to rest.

A particle of charge q_(0) and of mass m_(0) is projected along the y -axis at t=0 from origin with a velocity V_(0) . If a uniform electric field E_(0) also exist along the x -axis, then the time at which debroglie wavelength of the particle becomes half of the initial value is:

Kinetic energy of a particle on the surface of earth is E_(0) and the potential energy is - 2E_(0) . (a) Will the particle escape to infinity ? (ii) What is the value of potential energy where speed of the particle becomes zero?

A charged particle of charge q and mass m enters perpendiculalry in a magnetic field B. Kinetic energy of particle is E, then frequency of rotation is

A particle executes linear SHM with amplitude A and mean position is x=0. Determine position of the particle where potential energy of the particle is equal to its kinetic energy.

A charged particle of mass m and charge q is released from rest in an electric field of constant magnitude E . The kinetic energy of the particle after time t is

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS 2020-PHYSICS
  1. If I is moment of inertia, F is force, v is velocity, E is energy and ...

    Text Solution

    |

  2. A capacitor C is fully charged with voltage V(0). After disconnecting ...

    Text Solution

    |

  3. A particle of charge q and mass m is subjected to an electric field E=...

    Text Solution

    |

  4. The circuit is switched on at t=0, Find the time when energy stored in...

    Text Solution

    |

  5. Two cyllindrical vessels of equal cross sectional ara A contain water ...

    Text Solution

    |

  6. A body is moving in a low circular orbit about a planet of mass M and ...

    Text Solution

    |

  7. A cube of metal is subjected to a hydrostatic pressure of 4 Gpa. The p...

    Text Solution

    |

  8. A circular coil has moment of inertia "0.8 kg m"^(2) around any diamet...

    Text Solution

    |

  9. Consider two uniform discs of the same thickness and different radii ...

    Text Solution

    |

  10. The value of current i(1) flowing from A to C in the circuit diagram i...

    Text Solution

    |

  11. Identify the operation performed by the circuit given below:

    Text Solution

    |

  12. A paramagnetic sample shows a net magnetisationo f 6 A/m when it is pl...

    Text Solution

    |

  13. Find the Binding energy per neucleon for ""(50)^(120)SnMass of proton ...

    Text Solution

    |

  14. The electric field of a plane electromagnetic wave is given by vecE=...

    Text Solution

    |

  15. The driver of a bus approaching a big wall botices that the frequency ...

    Text Solution

    |

  16. A person pushes a box on a rough horizontal plateform surface.He appli...

    Text Solution

    |

  17. In a photoelectric effect experiment, the graph of stopping potential ...

    Text Solution

    |

  18. Match the thermodynamic processes taking place in a system with the c...

    Text Solution

    |

  19. Find the ratio of moment of inertia about axis perpendicular to rectan...

    Text Solution

    |

  20. The change in the magnitude of the volume of an ideal gas when a small...

    Text Solution

    |