Home
Class 12
PHYSICS
A particle of unit mass undergoes one-di...

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to
`v(x) = beta x^(-2 n)`
where `beta` and `n` are constant and `x` is the position of the particle. The acceleration of the particle as a function of `x` is given by.

A

`-2n beta^(2)e^(-4n+1)`

B

`-2n beta^(2)x^(-2n-1)`

C

`-2n beta^(2)x^(-4n-1)`

D

`-2beta^(2)m^(-2n+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D)|15 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B)|33 Videos
  • MOTION IN A PLANE

    AAKASH INSTITUTE ENGLISH|Exercise Assignement section -J (Aakash Challengers Questions)|7 Videos
  • MOTION IN STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J)|2 Videos

Similar Questions

Explore conceptually related problems

A particle of unit mass is moving along x-axis. The velocity of particle varies with position x as v(x). =alphax^-beta (where alpha and beta are positive constants and x>0 ). The acceleration of the particle as a function of x is given as

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The acceleration of the particle is

If v = x^2 - 5x + 4 , find the acceleration of the particle when velocity of the particle is zero.

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 moves along a path y = ax^2 (where a is constant) in such a way that x-component of its velocity (u_x) remains constant. The acceleration of the particle is

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

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t = 2/3s is

A particle moving in the positive x-direction has initial velocity v_(0) . The particle undergoes retardation kv^(2) , where vis its instantaneous velocity. The velocity of the particle as a function of time is given by:

A particle moves such that its acceleration is given by a = -beta(x-2) Here, beta is a positive constnt and x the x-coordinate with respect to the origin. Time period of oscillation is

A particle is executing SHM and its velocity v is related to its position (x) as v^(2) + ax^(2) =b , where a and b are positive constant. The frequency of oscillation of particle is

AAKASH INSTITUTE ENGLISH-MOTION IN A STRAIGHT LINE-ASSIGNMENT (SECTION - C)
  1. Two cars P and Q start from a point at the same time in a straight lin...

    Text Solution

    |

  2. If the velocity of a particle is v = At+Bt^(2), where A and B are cons...

    Text Solution

    |

  3. A particle of unit mass undergoes one-dimensional motion such that its...

    Text Solution

    |

  4. A stone falls freely under gravity. It covers distances h(1), h(2) and...

    Text Solution

    |

  5. The motion of a particle along a straight line is described by equatio...

    Text Solution

    |

  6. A boy standing at the top of a tower of 20 m height drops a stone. Ass...

    Text Solution

    |

  7. A particle covers half of its total distance with speed v(1) and the r...

    Text Solution

    |

  8. A ball is dropped from a high rise platform at t=0 starting from rest....

    Text Solution

    |

  9. A paricle moves a distance x in time t according to equation x=(t+5)^(...

    Text Solution

    |

  10. A bus is moving with a speed of 10 m s^(-1) on a straight road. A scoo...

    Text Solution

    |

  11. A particle shows distance-time curve as given in this figure. The maxi...

    Text Solution

    |

  12. A particle moves in a straight line with a constant acceleration. Its ...

    Text Solution

    |

  13. The distance travelled by a particle starting from rest and moving wit...

    Text Solution

    |

  14. A particle moving along x-axis has acceleration f, at time t, given f=...

    Text Solution

    |

  15. A car moves from X to Y with a uniform speed vu and returns to X with ...

    Text Solution

    |

  16. The position x of a particle w.r.t. time t along x-axis is given by a ...

    Text Solution

    |

  17. A particle moves along a straight line. At a time t (in seconds) the d...

    Text Solution

    |

  18. Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heig...

    Text Solution

    |

  19. The displacement x of a particle varies with time t as x = ae^(-alpha ...

    Text Solution

    |

  20. A ball is thrown vertically up ward. It has a speed of 10m/sec when it...

    Text Solution

    |