Home
Class 11
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 constants 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 x^-(2n-1)`

B

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

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise EVALUATION TEST|17 Videos
  • OPTICS

    TARGET PUBLICATION|Exercise EXERCISE|447 Videos

Similar Questions

Explore conceptually related problems

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t = 4/3 s is

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a_(c) is varying with time t as a_(c) = k^(2)rt^(2) , where k is a constant. The power delivered to the particle by the forces acting on it is :

A particle moves along x-axis obeying the equation x=t(t-1)(t-2), where x (in metres) is the position of the particle at any time t (in seconds). The displacement when the velocity of the particle is zero, is

A particle moves in a straight line in such a way that its velocity at any point is given by v^2=2-3x , where x is measured from a fixed point. The acceleration is

The disperod of a particle varies according to the relation x=4 (cos pit+ sinpit) . The amplitude of the particle is.

The equation of motion of a particle is x = a cos (a t)^2. The motion is

If the velocity of a particle is v = At + Bt^2 . where A and B are constants, then the distance travelled by it between 1 s and 2 s is

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

A particle of mass 10^-6 kg performs uniform circular motion. Its period is 10 s and the radius of the circle is 2 m. Find (i) the speed of the particle (ii) the centripetal acceleration of the particle (iii) the centripetal force on the particle.

The speed v of a particle moving along a straight line is given by a+bv^(2)=x^(2) , where x is its distance from the origin. The acceleration of the particle is (1)b/x (2)x/a (3)x/b (4)x/ab

TARGET PUBLICATION-Motion in a plane-Exercise
  1. Two particles are simultaneously projected in the horizontal direction...

    Text Solution

    |

  2. A stone is dropped from the top of a tower of height 45 m. One second ...

    Text Solution

    |

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

    Text Solution

    |

  4. Two balls are thrown horizontally in opposite directions from the same...

    Text Solution

    |

  5. A projectile has some range R when the maximum height attained by it i...

    Text Solution

    |

  6. A large number of bullets are fired in all directions with same speed ...

    Text Solution

    |

  7. The ceiling of a tunnel is 5 m high. What is the maximum horizontal di...

    Text Solution

    |

  8. A small particle of mass mis projected at an angle theta with the x-ax...

    Text Solution

    |

  9. A projectile is fired from the surface of the earth with a velocity of...

    Text Solution

    |

  10. From a tower of height H, a particle is thrown vertically upwards with...

    Text Solution

    |

  11. The relation between linear speed v, angular speed omega and angular a...

    Text Solution

    |

  12. If K.E of the particle of mass m performing U.C.M in a circle of radi...

    Text Solution

    |

  13. A particle at rest is moved along a straight line by a machine giving ...

    Text Solution

    |

  14. A coin is placed on a rotating tur table rolated with angular speed om...

    Text Solution

    |

  15. A particle has initial velocity 4 hat i + 3 hat j and an accelaration ...

    Text Solution

    |

  16. A boat crosses a lake and returns in time T0, at a speed V. On a rough...

    Text Solution

    |

  17. A bullet is fired from surface of earth with a velocity of u m/s at an...

    Text Solution

    |

  18. A man throws balls with same speed vertically upwards one after the ot...

    Text Solution

    |

  19. A body is projected with velocity v1from the point P as shown in the f...

    Text Solution

    |

  20. A particle of mass 8 kg is initially at rest. A force acts on it whose...

    Text Solution

    |