Home
Class 11
PHYSICS
A particle of mass m is moving in a pote...

A particle of mass m is moving in a potential well, for which the potential energy is given by `U(x) = U_(0)(1-cosax)` where `U_(0)` and a are positive constants. Then (for the small value of x)

A

the time period of small osciallation is `T=2pisqrt(m/(aU_(0))`

B

the speed of the particle is maximum at x=0

C

the amplitude of oscillations is `pi/8`

D

the time period of small osciallations is `T=2pisqrt(m/(a^(2)U_(0))`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    DC PANDEY|Exercise Comprehension types|18 Videos
  • SIMPLE HARMONIC MOTION

    DC PANDEY|Exercise Matrix matching type questions|13 Videos
  • SIMPLE HARMONIC MOTION

    DC PANDEY|Exercise JEE Advanced|34 Videos
  • SEMICONDUCTORS AND ELECTRONIC DEVICES

    DC PANDEY|Exercise More than One Option is Correct|3 Videos
  • SOLVD PAPERS 2017 NEET, AIIMS & JIPMER

    DC PANDEY|Exercise Solved paper 2018(JIPMER)|38 Videos

Similar Questions

Explore conceptually related problems

A body of mass m is in a field where its potential energy is given by U = ax^(3) +bx^(4) , where a and b are positive constants. Then, [The body moves only along x ]

A particle of mass m is located in a potential field given by U (x) = U_(o) (1-cos ax) where U_(o) and a are constants and x is distance from origin. The period of small oscillations is

The potential energy of a particle of mass 'm' situated in a unidimensional potential field varies as U(x) = U_0 [1- cos((ax)/2)] , where U_0 and a are positive constant. The time period of small oscillations of the particle about the mean position-

A particle of mass m is located in a one dimensional potential field where potential energy of the particle has the form u(x) = a/x^(2)-b/x) , where a and b are positive constants. Find the period of small oscillations of the particle.

If a particle of mass m moves in a potential energy field U=U_(0)-ax+bx^(2) where U_(0) , a and b are positive constants.Then natural frequency of small oscillations of this particle about stable equilibrium point is (1)/(x pi)sqrt((b)/(m)) . The value of x is?

A particle of mass m in a unidirectional potential field have potential energy U(x)=alpha+2betax^(2) , where alpha and beta are positive constants. Find its time period of oscillations.

A particle of mass m moves in a one dimensional potential energy U(x)=-ax^2+bx^4 , where a and b are positive constant. The angular frequency of small oscillation about the minima of the potential energy is 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

DC PANDEY-SIMPLE HARMONIC MOTION-More than one option is correct
  1. A particle is executing SHM on a straight line. A and B are two points...

    Text Solution

    |

  2. Two particles undergo SHM along the same line with the same time perio...

    Text Solution

    |

  3. A particle of mass m is moving in a potential well, for which the pote...

    Text Solution

    |

  4. In a horizontal spring-block system force constant of spring is k = 16...

    Text Solution

    |

  5. Two small particles P and Q each of mass m are fixed along x-axis at p...

    Text Solution

    |

  6. x-tequation of a particle moving along x-axis is given as x=A+A(1-co...

    Text Solution

    |

  7. In simple harmonic motion of a particle, maximum kinetic energy is 40 ...

    Text Solution

    |

  8. Two particles are in SHM with same amplitude A and same regualr freque...

    Text Solution

    |

  9. Time period of spring-block system on surface of earth is T(1) and tha...

    Text Solution

    |

  10. A linear harmonic oscillator of force constant 2 xx 10^6 N//m and ampl...

    Text Solution

    |

  11. Three simple harmonic motions in the same direction having the same am...

    Text Solution

    |

  12. If y, v and a represent displacement velocity and acceleration at any ...

    Text Solution

    |

  13. The time period of a particle in simple harmonic motion is T. Assume p...

    Text Solution

    |

  14. The figure shows a graph between velocity and displacement (from mean ...

    Text Solution

    |

  15. Two blocks of masses 3 kg and 6kg rest on horizontal smooth surface. T...

    Text Solution

    |

  16. Two springs with negligible massess and force constant of k(1)= 200 Nm...

    Text Solution

    |

  17. Initially spring is compressed by x(0) and blocks are in contact when ...

    Text Solution

    |

  18. A block suspended from a spring is released when the spring is unstret...

    Text Solution

    |

  19. Two smooth tunnels are dug from one side of earth's surface to the oth...

    Text Solution

    |

  20. Total energy of a particle executing oscillating motionis 3 joule and ...

    Text Solution

    |