Home
Class 11
PHYSICS
The velocity v of a particle at time t i...

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

`[LJ , [L T] and [LT^-2]`

B

`[L T^-2] , [L] and [T]`

C

`[L^2] , [T] and [L T^-2]`

D

`[LT^-2 ], [L T] and [L]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Units and Measurements

    SL ARORA|Exercise Exercise|499 Videos
  • THERMODYNAMICS

    SL ARORA|Exercise Exercise|342 Videos
  • VECTORS

    SL ARORA|Exercise Problems For Self Practice|56 Videos

Similar Questions

Explore conceptually related problems

The velocity v of a particle at time A is given by v = at+ (b)/(l +c) where a ,b and c are constant The dimensions of a,b and c are respectively

When a wave transverses in a medium, the displacement of a particle located at distance x at time t is given by y=a sin (bt-cx) where a, b and c are constants of the wave. The dimension of b//c are same as that of:

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 the velocity of a particle "v" as a function of time "t" is given by the equation,v=a(1-e^(-bt) ,where a and b are constants,then the dimension of the quantity a^2*b^3 will be

The position x of a particle at time t is given by x=(V_(0))/(a)(1-e^(-at)) , where V_(0) is constant and a gt 0 . The dimensions of V_(0) and a are

When a wave traverses a medium, the displacement of a particle located at 'x' at a time 't' is given by y = a sin (bt - cx) , where a,b and c are constants of the wave, which of the following is a quantity with dimensions?

SL ARORA-Units and Measurements-Exercise
  1. The dimensional formula for magnetic flux is

    Text Solution

    |

  2. The dimensional formula for permeability of free space, mu(0) is

    Text Solution

    |

  3. Which pair do not have equal dimensions?

    Text Solution

    |

  4. Of the following quantities , which one has the dimensions different f...

    Text Solution

    |

  5. If x=at+bt^(2), where x is the distance travelled by the body in kilom...

    Text Solution

    |

  6. An equation is given as (p +(a)/(V^(2))) = b(theta)/(V),where p= press...

    Text Solution

    |

  7. The velocity v of a particle at time t is given by v=at+b/(t+c), where...

    Text Solution

    |

  8. The time dependence of a physical quantity P is given by P= P0 exp(-a...

    Text Solution

    |

  9. The density of material in CGS system of units is 4gcm^(-3). In a syst...

    Text Solution

    |

  10. Which of the following is a dimensional constant?

    Text Solution

    |

  11. The damping force on an oscillator is directly proportional to the vel...

    Text Solution

    |

  12. If force (F) velocity (V) and time (T) are taken as fundamental units,...

    Text Solution

    |

  13. If energy (E ) , velocity (V) and time (T) are chosen as the fundament...

    Text Solution

    |

  14. Percentage erros in the measurement of mass and speed are 2% and 3% re...

    Text Solution

    |

  15. The density of a cube is measured by measuring its mass and length of ...

    Text Solution

    |

  16. A certain body weighs 22.42 g and has a measured volumen of 4.7 c c. T...

    Text Solution

    |

  17. If the error in the measurement of radius of a sphere in 2% then the e...

    Text Solution

    |

  18. If voltage across a bulb rated 220 volt-100 watt drops by 2.5 % of its...

    Text Solution

    |

  19. In an experiment four quantities a,b,c and d are measure with percenta...

    Text Solution

    |

  20. A student measued the diameter of a small steel ball using a screw gau...

    Text Solution

    |