Home
Class 12
PHYSICS
The potential energy of a 1 kg particle ...

The potential energy of a `1 kg` particle free to move along the x- axis is given by `V(x) = ((x^(4))/(4) - x^(2)/(2)) J`
The total mechainical energy of the particle is `2 J` . Then , the maximum speed (in m//s) is

A

2

B

`3//sqrt2`

C

`sqrt2`

D

`1//sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 84

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

  • NTA JEE MOCK TEST 86

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a 1kg particle free to move along the x-axis is given by V(x)=(x^(4)/4-x^(2)/2)J The total mechanical energy of the particle is 2J then the maximum speed (in m//s) is

The potential energy of a 2 kg particle free to move along the x- axis is given by V(x)[(x^(4))/(4)-(x^(2))/(2)]jou l e The total mechanical energy of the particle is 0.75 J . The maximum speed of the particle ( in m//s) is :

The PE of a 2 kg particle, free to move along x-axis is given by V(x)=((x^(3))/(3)-(x^(2))/(2))J. The total mechanical energy of the particle is 4 J. Maximum speed (in ms^(-1) ) is

The potential energy of 1kg particle free to move along x-axis is given by U(x)=[x^4/4-x^2/2]J. The total mechanical energy of the particle is 2J. The maximum speed of the particle is

The potential energy of a particle of mass 1 kg free to move along x-axis is given by U(x) =(x^(2)/2-x) joule. If total mechanical energy of the particle is 2J then find the maximum speed of the particle. (Assuming only conservative force acts on particle)

The potential energy of a particle of mass 1 kg moving along x-axis given by U(x)=[(x^(2))/(2)-x]J . If total mechanical speed (in m/s):-

The potential energy of a particle of mass 2 kg moving along the x-axis is given by U(x) = 4x^2 - 2x^3 ( where U is in joules and x is in meters). The kinetic energy of the particle is maximum at

The force acting on a particle of mass m moving along the x-axis is given by F (x) = Ax^(2) - Bx. Which one of the following is the potential energy of the particle?

The potential energy of particle of mass 1kg moving along the x-axis is given by U(x) = 16(x^(2) - 2x) J, where x is in meter. Its speed at x=1 m is 2 m//s . Then,

NTA MOCK TESTS-NTA JEE MOCK TEST 85-PHYSICS
  1. An insulating solid sphere of the radius R is charged in a non - unifo...

    Text Solution

    |

  2. Assuming the Sun to be a spherical body of radius R at a temperature o...

    Text Solution

    |

  3. In a given process on an ideal gas, dW=0 and dQlt0. Then for the gas

    Text Solution

    |

  4. A horizontal metallic rod of mass 'm' and length 'l' is supported by t...

    Text Solution

    |

  5. A large , heavy box is sliding without friction down a smooth plane o...

    Text Solution

    |

  6. The friction coefficient between the board and the floor shown in figu...

    Text Solution

    |

  7. A particle at the end of a spring executes simple harmonic motion with...

    Text Solution

    |

  8. A photocell is illuminated by a small bright source places 1 m away w...

    Text Solution

    |

  9. A beam of light consisting of red, green and blue colours is incident ...

    Text Solution

    |

  10. A uniform rod of mass m and length L is hinged at one end and free to ...

    Text Solution

    |

  11. A particular semiconductor in equilibrium has 1xx10^(16)cm^(-3) donor ...

    Text Solution

    |

  12. The speed (v) of ripples on the surface of waterdepends on surface ten...

    Text Solution

    |

  13. The ratio of intensities of consecutive maxima in the diffraction patt...

    Text Solution

    |

  14. A string of length 1.5 m with its two ends clamped is vibrating in fun...

    Text Solution

    |

  15. The potential energy of a 1 kg particle free to move along the x- axis...

    Text Solution

    |

  16. The length of a magnet is large compared to its width and breadth. The...

    Text Solution

    |

  17. A statellite is launched into a circular orbit, (R )/(4) above the sur...

    Text Solution

    |

  18. To determine the half life of a radioactive element , a student plote ...

    Text Solution

    |

  19. A wide cylindrical vessel 50cm in height is filled with water and rest...

    Text Solution

    |

  20. A wire is made by attaching two segments together end to end. One segm...

    Text Solution

    |