Home
Class 12
PHYSICS
The displacement x of a particle varies ...

The displacement x of a particle varies with time according to the relation `x=(a)/(b) alpha-e^(-bt) ) ` Then :

A

At `t = 1//b` the displacment of the particle in nearly (1/3)(a/b)

B

The velocity and acceleration of the particle at t = 0 and a and -ab respectively

C

Both 1 and 2

D

At t = 1/b , the displacement of the particle is (3/5) (a/b)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MOTION IN A PLANE|87 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LAW OF MOTION|128 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LAW OF MOTION|128 Videos
  • APPENDICES ( REVISION EXERCISE )

    AAKASH SERIES|Exercise REVISION EXERCISE (MAGNETISM AND MATTER )|52 Videos
  • ATOMS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

The displacement x of a particle varies with time according to the relation x=(a)/(b)(1-e^(-bt)) . Then select the false alternative.

The displacement of a particle varies with time according to the relation y=asinomegat+bcoasomegat .

The displacement of a particle varies with time according to the relation y=asinomegat+bcosomegat .

If the displacement of a particle varies with time as sqrt x = t+ 3

The diplacement of a particle varies with time according to the relation y=a"sin"omegat+b " cos"omegat .

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

The energy E of a particle varies with time t according to the equation E=E_0sin(alphat).e^((-alphat)/(betax)) , where x is displacement from mean position E_0 is energy at infinite position and alpha and beta are constants . Dimensional formula of alpha is

The energy E of a particle varies with time t according to the equation E=E_0sin(alphat).e^((-alphat)/(betax)) , where x is displacement from mean position E_0 is energy at infinite position and alpha and beta are constants . Dimensions of beta are

The energy E of a particle varies with time t according to the equation E=E_0sin(alphat).e^((-alphat)/(betax)) , where x is displacement from mean position E_0 is energy at infinite position and alpha and beta are constants . Dimensions of sin((alphat)/(betax)) are

The position x of a particle varies with time t according to the relation x=t^3+3t^2+2t . Find the velocity and acceleration as functions of time.

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-MOTION IN A STRAIGHT LINE
  1. Two cars start in a race with velocities u(1) and u(2) and travel in a...

    Text Solution

    |

  2. STATEMENT-1 : For solution of volatile liquids, the partial vapour pre...

    Text Solution

    |

  3. The displacement x of a particle varies with time according to the rel...

    Text Solution

    |

  4. The acceleration (a) of a particle depends on displacement (s) as a =...

    Text Solution

    |

  5. A train takes t sec to perform a journey , if travel for t/n sec with ...

    Text Solution

    |

  6. On fogy day two drivers spot in front of each other when 80 m apart, t...

    Text Solution

    |

  7. A particle moving along straight line has velocity v = mu s where s is...

    Text Solution

    |

  8. A bird is tossing (flying to and fro) between two cars moving towards ...

    Text Solution

    |

  9. On a long horizontally moving belt (Fig.3.26), a child runs to and fro...

    Text Solution

    |

  10. A stone is dropped from a hill of height 180 m. Two seconds later anot...

    Text Solution

    |

  11. Water drops fall from the roof a building 20 m high at regular time in...

    Text Solution

    |

  12. A body is dropped from a height of 16 m. The body strikes the ground a...

    Text Solution

    |

  13. The distance travelled by a falling body in the last second of its mot...

    Text Solution

    |

  14. A ball dropped from a point P crosses a point Q in t seconds. The time...

    Text Solution

    |

  15. Two balls are dropped from the same height at two different places A a...

    Text Solution

    |

  16. A lead ball dropped into a lake from a diving board 5 m above the wate...

    Text Solution

    |

  17. A body P is thrown vertically up with velocity 30 ms^(-1) and another ...

    Text Solution

    |

  18. A boy sees a ball go up and then down through a window 2.45 m high. If...

    Text Solution

    |

  19. A particle is projected vertically up and another is let fall to meet ...

    Text Solution

    |

  20. A ball is projected from the bottom of a tower and is found to go abov...

    Text Solution

    |