Home
Class 12
PHYSICS
A force F is given by F=at+bt^(2), where...

A force `F` is given by `F=at+bt^(2)`, where `t` is time. The dimensions of `a and b` are

A

`MLT^(-3) and ML^2T^4`

B

`MLT^(-3) and MLT^4`

C

`MLT^(-1) and MLT^0`

D

`MLT^(-4) and MLT^(-1)`

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 STRAIGHT LINE|59 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MOTION IN A PLANE|87 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

A force F is given by F = at + bt^(2) , where t is time . What are the dimensions of a and b ?

A force F is given by F = at + bt^(2) , where t is time . What are the dimensions of a and b ?

Velocity v is given by v=at^(2)+bt+c , where t is time. What are the dimensions of a, b and c respectively?

If force (F) is given by F = Pt^(-1) + alpha t, where t is time. The unit of P is same as that of

Given F = (a//t) + bt^2 where F denotes force and t time. The diamensions of a and b are respectively:

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 :-

For a body in a uniformly accelerated motion, the distance of the body from a reference point at time 't' is given by x = at + bt^2 + c , where a, b , c are constants. The dimensions of 'c' are the same as those of (A) x " " (B) at " " (C ) bt^2 " " (D) a^2//b

Force acting on a particle is given by F=(A-x)/(Bt) , where x is in metre and t is in seconds. The dimensions of B is -

The distance covered by a particle in time t is given by x=a+bt+ct^2+dt^3 , find the dimensions of a,b,c and d.

The linear momentum p of a particle is given as a function of time t as p=At^2+Bt+C .The dimensions of constant B are

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-LAW OF MOTION
  1. A force F is given by F=at+bt^(2), where t is time. The dimensions of ...

    Text Solution

    |

  2. A body of mass 1 kg is moving with velocity 30 ms^(-1) due north. It i...

    Text Solution

    |

  3. A force of 20 N acts on a body of mass 5kg at rest. What is the accele...

    Text Solution

    |

  4. A truck starts from rest and accelerates uniformly at 2.0 ms^(-2) . At...

    Text Solution

    |

  5. A particle of mass 70 g, moving at 50 cm/s , is acted upon by a variab...

    Text Solution

    |

  6. A ball of mass 400 gm is dropped from a height of 5m. A boy on the gro...

    Text Solution

    |

  7. A batsman deflects a ball by an angle of 60° without changing its init...

    Text Solution

    |

  8. A body of mass 5 kg is at rest. Three force F(1) = 10 N due North F2=1...

    Text Solution

    |

  9. The momentum of a body in two perpendicular direction at any time 't' ...

    Text Solution

    |

  10. A bullet is fired from a gun. The force on the bullet is given by F=60...

    Text Solution

    |

  11. A body of mass 5kg starts from the origin with an initial velocity of...

    Text Solution

    |

  12. A 15Kg mass is accelerated from rest with a force of 100N. As it moves...

    Text Solution

    |

  13. A cart loaded with sand moves along a horizontal floor due to a consta...

    Text Solution

    |

  14. Two billiard balls each of mass 0.05 kg moving in opposite direction w...

    Text Solution

    |

  15. Figure 5.17 shows the position-time graph of a body of mass 0.04 kg . ...

    Text Solution

    |

  16. The driver of a three-wheeler moving with a speed of 36 km/h sees a ch...

    Text Solution

    |

  17. If the average velocity of a body moving with uniform acceleration und...

    Text Solution

    |

  18. Five persons A, B, C, D & E are pulling a cart of mass 100kg on a smoo...

    Text Solution

    |

  19. A box is put on a scale which is adjusted to read zero, when the box i...

    Text Solution

    |

  20. Two masses each equal to m are lying on x-axis at (-a,0)(+a,0) respect...

    Text Solution

    |

  21. Water is flowing at a speed of 1.5ms^(-1) through a horizontal tube of...

    Text Solution

    |