Home
Class 11
PHYSICS
If "force" F, "length" L and time T are...

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

A

`[FL^(-1)T^(2)]`

B

`[FLT^(-2)]`

C

`[FL^(-1)T^(-1)]`

D

`[FL^(-5)T^(2)]`

Text Solution

Verified by Experts

The correct Answer is:
A
`[F]^(0)[L]^(0)[T]^(0) = [M]`
`:. [MLT^(-2)]^(0) [L]^(b)[T]^(0) = [M]`
Equating the power we get ,
` a= l, b = -1 `
and ` c= 2`
Promotional Banner

Topper's Solved these Questions

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise More Than One Correct|5 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Subjective|16 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 2 Subjective|9 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Medical entrances gallery|32 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 quantites, the dimensional 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, length and time are taken as fundamental units, then the dimensions of mass will be

Treating force F, length L and time T as fundamental units, what is the dimensional formula of mass?

In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units, then the dimensional formula of energy is

In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units, then the dimensional formula of energy will become [FAT^(x//3)] . Find value of x?

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

If force (F) , velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are

DC PANDEY-UNIT AND DIMENSIONS-Single Correct
  1. The dimensional formula for Planck's constant and angular momentum ar...

    Text Solution

    |

  2. Dimension of velocity gradient is

    Text Solution

    |

  3. Which of the following is the dimension of the coefficient of frintion...

    Text Solution

    |

  4. Which of the following sets have different dimensions ?

    Text Solution

    |

  5. The viscous force F on a sphere of radius a moving in a medium with ve...

    Text Solution

    |

  6. A force is given by F= at + bt^(2) where t is the time .The dime...

    Text Solution

    |

  7. The physical quanitity the dimensions [M^(-2)L^(-3)T^(0)A^(2)] is

    Text Solution

    |

  8. The dimensional formula for planck's magnetic flux is

    Text Solution

    |

  9. Chooce the wrong statement.

    Text Solution

    |

  10. If unit of length and time is doubled the numerical value of g (accele...

    Text Solution

    |

  11. Using mass (M), "length"(L) , time (T) and current (A) as fundamental...

    Text Solution

    |

  12. The equation of a wave is given by y = a sin omega [(x)/v -k] w...

    Text Solution

    |

  13. If the energy ( E) ,velocity (v) and force (F) be taken as fundamental...

    Text Solution

    |

  14. If "force" F, "length" L and time T are taken as fundemental unit , t...

    Text Solution

    |

  15. The ratio of the dimensions of plank's constant and that of the moment...

    Text Solution

    |

  16. Given that y = A sin [((2 pi )/(lambda)(ct - x))] where y and x are me...

    Text Solution

    |

  17. Which of the following sets cannot enter into the list of fundamental ...

    Text Solution

    |

  18. In the formula X = 3Y Z^(2) , X and Z have dimensions of capacitance...

    Text Solution

    |

  19. A quantity X is given by epsilon(p) L(delta V)/(delta t) , where eps...

    Text Solution

    |

  20. In the relaction p = (a)/(beta) e ^((aZ)/(k theta ), p is pressure Z ...

    Text Solution

    |