Home
Class 11
PHYSICS
If force F, Length L and time T are chos...

If force `F`, Length `L` and time `T` are chosen as fundamental quantites, the dimensional formula for Mass is

Text Solution

Verified by Experts

The correct Answer is:
`[FL^(-1) T^(2)]`

Let quantity be Q
`Q=f[L, T, F]`
`Q=K [L^(x)T^(y)F^(z)]`
`[M]=[L^(x+2)M^(2)T^(y-2z)]`
`rArr z=1`
`x+2=0`
`y-2z=0`
`Q=[FL^(-1) T^(2)]`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSIONS

    GRB PUBLICATION|Exercise Objective Type Question|103 Videos
  • UNITS AND DIMENSIONS

    GRB PUBLICATION|Exercise More than one choice is correct|17 Videos
  • UNITS AND DIMENSIONS

    GRB PUBLICATION|Exercise Link Compression|6 Videos
  • MOTION IN TWO AND THREE DIMENSIONS

    GRB PUBLICATION|Exercise All Questions|210 Videos
  • VECTORS

    GRB PUBLICATION|Exercise PASSAGE -3|3 Videos

Similar Questions

Explore conceptually related problems

If force F, Length L and time T are chosen as fundamental quantities , the dimensioal formula for mass is

If force 'F' length 'L' and time 'T' are chosen as fundamental quantities,the dimensional formula for mass is

If force F, Mass M and time T are chosen as fundamental quantities the dimensional formula for length , is

If force F , Mass M and time T are chosen as fundamental quanties the dimensional formula for length is

If "force" F, "length" L and time T are taken as fundemental unit , the dimensional formula mass will be

If force F, time T and length L are used as fundamental quantities then dimensional formula for density will be

If energy E, length L and time T are taken as fundamental quantities. The dimensional formula of gravitational constant is

If energy E, length L, and time T are taken as fundamental quantities .The dimensional formula of gravitational constant is

If energy E , velocity v and time T are taken as fundamental quanties, the dimensional formula for surface tension is

GRB PUBLICATION-UNITS AND DIMENSIONS-Problem For Practice
  1. The SI and CGS units of energy are joule and erg respectivel. How many...

    Text Solution

    |

  2. Find the dimensions of Planck's constant. If its value in cgs system i...

    Text Solution

    |

  3. Calculate the dimensions of universal gravitational constant G. What i...

    Text Solution

    |

  4. The CGs unit of visosity is poise (P). Find how many poise are there i...

    Text Solution

    |

  5. IN a new system of units called star units, 1 kg* = 10 kg , 1m* = 1km ...

    Text Solution

    |

  6. If force F, Length L and time T are chosen as fundamental quantites, ...

    Text Solution

    |

  7. What are the dimensions and SI units of van der Waal's constants a and...

    Text Solution

    |

  8. Assuming that in case of motion of blunt bodies in air acrodynamic dra...

    Text Solution

    |

  9. The time of oscillation of a small drop of liquid under surface tensio...

    Text Solution

    |

  10. A large fluid star oscillates in shape under the influence of its own ...

    Text Solution

    |

  11. (a) construct an expression for a quantity having the dimension of len...

    Text Solution

    |

  12. If the speed of light c(=3xx10^(8) m//s), Planck's contant h(=6.6xx10^...

    Text Solution

    |

  13. Write the dimensions of the following in terms of mass, time, length a...

    Text Solution

    |

  14. Check the correctness of the relation c = (1)/(sqrt(mu0 in0)) where th...

    Text Solution

    |

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

    Text Solution

    |

  16. The resistance R= (V)/(I), where V= (100+-5.0) V and I=(10+-0.2)A. Fin...

    Text Solution

    |

  17. In an experiment using post-office box, the resistance of a wire is fo...

    Text Solution

    |

  18. Match the items (physical quantity, unit and dimensions) given in thre...

    Text Solution

    |

  19. State whether the following statement is true or false. Give very brie...

    Text Solution

    |

  20. Solve with due regard to significant digits: (i) sqrt(6.5-6.32) (ii)...

    Text Solution

    |