Home
Class 11
PHYSICS
A force F is given by F = at + bt^(2) , ...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
From the principal of dimensional bomogeneity
`[a] = [(F)/(t)] = [MLT^(-3)]` and `[b] = [(F)/(t^(2))] = [MLT^(-4)]`
Promotional Banner

Topper's Solved these Questions

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Significant Figures|14 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Erros Of Measurement|31 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Chapter Test|28 Videos

  • THERMAL PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|30 Videos

  • VECTORS

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Given is the relation of force F with time, F=a+bt . What are the dimensions of a and b?

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

A2Z-UNIT, DIMENSION AND ERROR ANALYSIS-Concept Of Dimensional Formula
  1. Dimensional formula ML^(-1)T^2 does not represent the physical quantit...

    Text Solution

    |

  2. Two quantities A and B have different dimensions. Which mathematical o...

    Text Solution

    |

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

    Text Solution

    |

  4. Which pair has the same dimensions?

    Text Solution

    |

  5. The dimensional formul for impulse is same as the dimensional formula ...

    Text Solution

    |

  6. Which of the following is dimensionally correct?

    Text Solution

    |

  7. The equation of state for real gas is given by P + (a)/(V^(2))(V - b) ...

    Text Solution

    |

  8. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |

  9. The quantities A and B are related by the relation A//B = m, where m ...

    Text Solution

    |

  10. The velocity of a freely falling body changes as g^ph^qwhere g is acce...

    Text Solution

    |

  11. Which one of the following pairs does have the same dimension?

    Text Solution

    |

  12. An athlletic coach told his team that muscle times speed equals power....

    Text Solution

    |

  13. If P represents radiation pressure , C represents the speed of light ...

    Text Solution

    |

  14. Force F and density d are related as F=(alpha)/(beta+sqrtd), Then find...

    Text Solution

    |

  15. The frequency (n) of vibration of a string is given as n = (1)/( 2 l)...

    Text Solution

    |

  16. Write the dimensions of a//b in the relation P = ( a - t^(2))/( bx) , ...

    Text Solution

    |

  17. If the time period (T)of vibration of a liquid drop depends on surface...

    Text Solution

    |

  18. Position of a body with acceleration a is given by x=Ka^mt^n, here t i...

    Text Solution

    |

  19. Density of a liquid in CGS system is 0.625(g)//(cm^3). What is it's ma...

    Text Solution

    |

  20. The velocity of a body is given by the equation v = (b)/(t) + ct^(2)...

    Text Solution

    |