Home
Class 11
PHYSICS
The velocity of a paritcle (v) at an ins...

The velocity of a paritcle (v) at an instant t is given by `v=at+bt^(2)`. The dimesion of b is

A

L

B

`LT^(-1)`

C

`LT^(-2)`

D

`LT^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
D

`[bt^2]=[v]implies[b][T^2]=[LT^(-1)]`
`[b] =[LT^(-3)]`
Promotional Banner

Topper's Solved these Questions

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Errors of Measurement)|35 Videos
  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise PAST YEARS QUESTIONS |24 Videos
  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise ASSERTION & REASON |17 Videos
  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise Assertion & Reason|22 Videos
  • WAVES AND SOUND

    ERRORLESS|Exercise ASSERTION & REASON |25 Videos

Similar Questions

Explore conceptually related problems

The velocity of a particle at an instant "t" is v=u+at ,where u is initial velocity and a is constant acceleration.The v -t graph are

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 :-

The velocity v of a particle at any instant t moving in a straight line is given by v=s +1 where s meter is the distance travelled in t second what is the time taken by the particle to cover a distacne of 9m ?

The velocity of a particle of mass 2 kg is given by vec(v)=at hat(i)+bt^(2)hat(j) . Find the force acting on the particle.

The velocity of a particle is given by v=12+3(t+7t^2) . What is the acceleration of the particle?

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 velocity upsilon of a particle is given by upsilon = A t^2 +Bt. What are the dimensions of A and B ?

ERRORLESS-UNITS, DIMENSIONS AND MEASUREMENT-NCERT BASED QUESTIONS (Dimensions)
  1. The dimensional formula of physical quantity is [M^(a)L^(b)T^(c)].Then...

    Text Solution

    |

  2. Which two of the following five physical parameters have the same dime...

    Text Solution

    |

  3. The velocity of a paritcle (v) at an instant t is given by v=at+bt^(2)...

    Text Solution

    |

  4. The velocity (V) of a particle (in cm/s) is given in terms of time (t)...

    Text Solution

    |

  5. Breaking force per unit area of cross section of a wire is called

    Text Solution

    |

  6. Surface tension has the same dimensions as that of

    Text Solution

    |

  7. A physical quantity X is defined by the formula X=(IFv^(2))/(WL^(3))...

    Text Solution

    |

  8. The dimensions of gravitational constant G and the moment of inertia a...

    Text Solution

    |

  9. Out of following four dimensional quantities, which one quantity is to...

    Text Solution

    |

  10. ML^(-1)T^(-2) represents

    Text Solution

    |

  11. The force F on a sphere of radius r moving in a medium with velocity v...

    Text Solution

    |

  12. The dimension of coefficient of viscosity is :

    Text Solution

    |

  13. A force F is given by F = at + bt^(2) , where t is time . What are the...

    Text Solution

    |

  14. ML^(3) T^(-1) Q^(-2) is dimension of

    Text Solution

    |

  15. The fundamental physical quantites quanties that have same dimension i...

    Text Solution

    |

  16. The physical quantity which has dimensional formula as that of ("energ...

    Text Solution

    |

  17. The ratio of the dimensions of Planck's constant and that of moment of...

    Text Solution

    |

  18. Identify the pair which has different dimensions

    Text Solution

    |

  19. An object is moving through the liquid. The viscous damping force acti...

    Text Solution

    |

  20. The dimensions of emf in MKS is

    Text Solution

    |