Home
Class 12
PHYSICS
Figure shows a plot of potential energy ...

Figure shows a plot of potential energy function `U(x) = kx^2` where x=displacement and k=constant. Identify the correct conservative force function F(x)

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A


`F = - (dU)/(dx)`
`because U(x) = kx^(2)`
`F = -2 kx`.
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.34|9 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.35|20 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.32|9 Videos
  • CURRENT ELECTRICITY

    RESONANCE|Exercise High Level Problems (HIP)|21 Videos
  • ELECTRO MAGNETIC WAVES

    RESONANCE|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose tha E_("mech")=8 J, the incorrect statement for this system is :

Figure shows a plot of the potential energy as a function of x for a particle moving along the x-axis. Which of the following statement(s) is/are true?

Check the points where the constant function f(x)=k

The potential energy function of a particle in the x-y plane is given by U =k(x+y) , where (k) is a constant. The work done by the conservative force in moving a particlae from (1,1) to (2,3) is .

Figure given below shows the variation of potential energy function U(x), corresponding to a particle lying in a one dimensional force field. The force acting on the particle at x = 2 m is:

The potential energy U for a force field vec (F) is such that U=- kxy where K is a constant . Then

A particle located in one dimensional potential field has potential energy function U(x)=(a)/(x^(2))-(b)/(x^(3)) , where a and b are positive constants. The position of equilibrium corresponds to x equal to

A particle located in a one-dimensional potential field has its potential energy function as U(x)=(a)/(x^4)-(b)/(x^2) , where a and b are positive constants. The position of equilibrium x corresponds to

A particle is moving on frictionless XY-plane. It is acted on by a conservative force described by the potential-energy function. U(x,y,z)=(1)/(2)k(x^(2)+y^(2)+z^(2)) where , k=constant Derive an expression for the force an the particle.

RESONANCE-DAILY PRACTICE PROBLEM-DPP No.33
  1. A hollow sphere has radius 6.4 m. Minimum velocity required by a motor...

    Text Solution

    |

  2. The work done by kinetic friction on a body :

    Text Solution

    |

  3. Figure shows a plot of potential energy function U(x) = kx^2 where x=d...

    Text Solution

    |

  4. In the given figure inclined surface and pulleys are smooth. Strings a...

    Text Solution

    |

  5. A cubical block (side l) is in equilibrium at the interface of two liq...

    Text Solution

    |

  6. A block of silver of mass 4 kg hanging from a string is immersed in a ...

    Text Solution

    |

  7. Figure shows a hemisphere of charge Q and radius R and a sphere of cha...

    Text Solution

    |

  8. A hollow cubical box P is moving on a smooth horizontal surface in the...

    Text Solution

    |

  9. A constant force produces maximum velocity V on the block connected to...

    Text Solution

    |

  10. When a mass m is connected individually to two spring S(1) and S(2) ,...

    Text Solution

    |

  11. A particle executing S.H.M. has a maximum speed of 30cm//s and a maxim...

    Text Solution

    |

  12. A satellite with mass 2000 kg and angular momentum magnitude 2 xx 10^(...

    Text Solution

    |

  13. An electron enters into the space of uniform field of finite width mak...

    Text Solution

    |

  14. Two conducting spheres of radii r and 3r initially have charges 3q & q...

    Text Solution

    |

  15. Two equipotential spherical surface having potential 20V and 0V are as...

    Text Solution

    |

  16. Two short dipoles phat(k) and P/2 hat(k) are located at (0,0,0) & (1m,...

    Text Solution

    |

  17. A sample of radioactive material decays simultaneouly by two processes...

    Text Solution

    |

  18. An unknown stable nuclide after absorbing a neutron emits an electron,...

    Text Solution

    |

  19. Two hydrogen atoms are in excited state with electrons residing in n =...

    Text Solution

    |

  20. A body of density rho is dropped from rest from height h (from the sur...

    Text Solution

    |