Home
Class 12
PHYSICS
The variation of potential energy of a p...

The variation of potential energy of a particle of mass m = 5kg to its x-coordinate . The particle moves under the effect of this conservative force only along the x-axis. Then, choose the correct option.

A

If the particle is released at the origin, then it will move towards x-axis.

B

At x=10 particle is in unstable equilibrium

C

If the particle is released at `x=5+Delta x`, where `Delta x rarr 0 ( Delta x gt 0)` then its maximum speed is `sqrt(10 ) m//`sec.

D

At x= 15m, the particle is in stable equilibrium.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    FIITJEE|Exercise SECTION (II) : (SUBJECTIVE )|33 Videos

  • KINEMATICS

    FIITJEE|Exercise SECTION(II) : MCQ ( SINGLE CORRECT)|47 Videos

  • KINEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|3 Videos

  • HEAT AND TEMPERATURE

    FIITJEE|Exercise NUMERICAL BASES QUESTIONS|1 Videos

  • LAWS OF MOTION

    FIITJEE|Exercise COMPREHENSION-III|2 Videos

Similar Questions

Explore conceptually related problems

In the figure the variation of potential energy of a particle of mass m=2kg is represented w.r.t. its x-coordinate. The particle moves under the effect of this conservative force along the x-axis. Which of the following statements are correct about the particle:

In the figure the variation of potential energy of a particle of mass m = 2kg is represented w.r.t. its x-coordinate. The particle moves under the effect of this conservative force along the x-axis. If the particle is released at the origin then

In figure, the variation of potential energy of a particle of mass m=2kg is represented w.r.t its x-coordinate. The particle moves under the effect of the conservative force along the x-axis. Which of the following statements is incorrect about the particle?

In the figure, the variation of potential energy of a particle of mass m = 2kg is represented with respect to its x-coordinate. The particle moves under the effect of this conservative force along the X-axis. If the particle is released at the origin, then

In the figure the variation of potential energy of a particle of mass m = 2kg is represented w.r.t. its x-coordinate. The particle moves under the effect of this conservative force along the x-axis. x = - 5m and x = 10 m position of the particle are respectively of

In the figure, the variation of potential energy of a particle of mass m = 2kg is represented with respect to its x-coordinate. The particle moves under the effect of this conservative force along the X-axis. If the particle is released at x = 2 + Delta where Delta rarr 0 (it is positive), then its maximum speed in subsequent motion will be

For a particle moving along the x-axis, mark the correct statement(s).

The potential energy of a particle moving along x-axis is given by U = 20 + 5 sin (4 pi x) , where U is in J and x is in metre under the action of conservative force :

The potential energy of a particle of mass 1 kg U = 10 + (x-2)^(2) . Herer, U is in joule and x in met. On the positive x=axis particle travels up to x=+6cm. Choose the wrong statement.

FIITJEE-KINEMATICS-SECTION(I): MCQ (SINGLE CORRECT)
  1. A particle of mass m moves from A to C under the action of force vecF ...

    Text Solution

    |

  2. Velocity of particle moving along x-axis is given as v = ( x^(3) - x^(...

    Text Solution

    |

  3. A particle is projected with initial velocity u = 10 m//s from a point...

    Text Solution

    |

  4. The variation of potential energy of a particle of mass m = 5kg to its...

    Text Solution

    |

  5. Two balls of mass 'm' and ' ( m)/( 10)' hang at the two ends of a stri...

    Text Solution

    |

  6. A ball of mass 'm' is pushed with a velocity u towards a movable wedge...

    Text Solution

    |

  7. A force F of constant magnitude acts on a block of mass 'm' and t=0,in...

    Text Solution

    |

  8. A bar of mass 'm' length 'l' is in pure translatory motion with its ce...

    Text Solution

    |

  9. A force vec(F ) = b( - y hat(i) + x hat( j ))/( x^(2) + y^(2)) N( b is...

    Text Solution

    |

  10. A flat disc of radius 'R' lie son the horizontal surface. The pressure...

    Text Solution

    |

  11. Water is flowing in a river at 2 ms^(-1). The river is 50 m wide and h...

    Text Solution

    |

  12. Find the maximum distance 'd' from the horizontal centre line of the d...

    Text Solution

    |

  13. A string of negligible thickness is wrapped several times around a sol...

    Text Solution

    |

  14. A lever PQ, hinged at P, of mass 'm' and length 'l' lies on the drum (...

    Text Solution

    |

  15. A homogeneous block rests against a vertical wall for which the coeffi...

    Text Solution

    |

  16. Two blocks of same mass 'm' are connected by the cable passing over a ...

    Text Solution

    |

  17. Rod can rotate about hinge point 'P'. A ball of mass 'm' is projected ...

    Text Solution

    |

  18. A spring-block system lies inside the horizontal frictionless tube as ...

    Text Solution

    |

  19. An equilateral triangular plate of mass 'm' is tied at the three verti...

    Text Solution

    |

  20. A rod of mass 'm' and length 'l' is hinged at point 'P ' and rod can r...

    Text Solution

    |