Home
Class 11
PHYSICS
The displacement x of a particle varies ...

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

A

At t = 1/6, the displacement of the particle in nearly (1/3) (a/b)

B

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

C

Both 1 and 2

D

At t = 1/6, 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

  • RIVISION EXERCISE

    AAKASH SERIES|Exercise MOTION IN A STRAIGHT LINE (VERTICAL MOTION)|58 Videos
  • RIVISION EXERCISE

    AAKASH SERIES|Exercise MOTION IN A PLANE (PARALLELOGRAM LAW, TRIANGLE LAW, POLYGON LAW)|14 Videos
  • RIVISION EXERCISE

    AAKASH SERIES|Exercise UNITS AND MEASUREMNET (SIGNIFICANT FIGURES AND ROUNDING OFF)|34 Videos
  • RAY OPTICS

    AAKASH SERIES|Exercise EXERCISE III|64 Videos
  • ROTATIONAL DYNAMICS

    AAKASH SERIES|Exercise PRACTICE SHEET (ADVANCED) Integer Type Questions|7 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle varies according to relation x=4[cos pi t + sin pi t ] . The amplitude of the particle is

The displacement of a particle moving in a straight line is given by the expression x=At^(3)+Bt^(2)+Ct+D in metres, where t is in seconds and A,B,C and D are constant. The ratio between the initial acceleration and initial velocity is

The displacement of a particle moving in a straight line Is given by the expression x = At^(3) + Bt^(2) + Ct + D meters, where t is in seconds and A, B, C and D are constants. The ratio between the initial acceleration and initial velocity is

The electric potential (V) in volts varies with x (in metre) according to the relation V = 5 + 4x^(2) . The force experienced by a negative charge of 2 mu C located at x = 0.5 m is

The velocity of a particle varies with time as per the law vec(V) = vec(a) + vec(b)t where vec(a) and vec(b) are two constant vectors. The time at which velocity of the particle is perpendicular to velocity of the particle at t= 0 is

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

    Text Solution

    |

  2. A train starting from rest travels the first part of its journey with ...

    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 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 = mus^2 where s ...

    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, a child runs to and fro with a spe...

    Text Solution

    |

  10. A particle traversed along a straight line for first half time with ve...

    Text Solution

    |

  11. An express train moving at 30 m/s reduces its speed to 10 m/s in a dis...

    Text Solution

    |

  12. A particle moving with uniform retardation covers distances 18 m. 14 m...

    Text Solution

    |

  13. A body is moving along the +ve X-axis with uniform acceleration of -4m...

    Text Solution

    |

  14. Two cars 1 & 2 starting from rest are moving with speeds V1 and V2 m//...

    Text Solution

    |

  15. A body starts with initial velocity u and moves with uniform accelerat...

    Text Solution

    |

  16. The position x of a particle varies with time t as x = at^2 - bt^3 . T...

    Text Solution

    |

  17. The acceleration 'a' in m//s^2 of a particle is given by a=3t^2+2t+2 ...

    Text Solution

    |

  18. The relation 3t = sqrt3x +6 describes the position of a particle in ...

    Text Solution

    |

  19. The displacement of a particle is given by x=(t-2)^2 where x is in me...

    Text Solution

    |

  20. An electron starting from rest has a velocity that increases linearly ...

    Text Solution

    |