Home
Class 11
PHYSICS
If force F, acceleration a, and time T a...

If force `F`, acceleration `a, and time `T` are taken as the fundamental physical quantities , the dimensions of length on this systemof units are

A

`FAT^(2)`

B

`FAT`

C

`FT`

D

`AT^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`AT^(2) = LT^(-2) xx T^(2) = [M^(0) LT^(0)]`
Promotional Banner

Topper's Solved these Questions

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Multiple Correct|2 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Linked Comprehension|3 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Subjective|31 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

If force [F] acceleration [A] time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.

The Martians force (F) , acceleration (A) and time (T) as their fundamental physical quantities. The dimensions of length on Martians system are

If force, acceleration and time are taken as fundamental quantities, then the dimensions of length will be:

If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force if

If the mass time and work are taken as fundamental physical quantities then dimensional formula of length

The physical quantity having dimension 2 in length is

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

If force, length and time are taken as fundamental units, then the dimensions of mass will be

If velocity (v), acceleration (a) and force (F) are taken as fundamental quantities, the dimensions of Young's modulus (Y) would be

CENGAGE PHYSICS-DIMENSIONS & MEASUREMENT-Single Correct
  1. Which of the following quantities has its unit as newton - second?

    Text Solution

    |

  2. If frequency F, velocity V , and density D are considered fundamental ...

    Text Solution

    |

  3. If force F, acceleration a, and time T are taken as the fundamental ph...

    Text Solution

    |

  4. If the percentage errors of A,B,and C are a, b, and c, respectively ,t...

    Text Solution

    |

  5. Which of the following numbers has least number of significant figures...

    Text Solution

    |

  6. The dimensional formula for magnetising field H is

    Text Solution

    |

  7. The dimensions of intensity of wave are

    Text Solution

    |

  8. Find the dimensions of capacitance.

    Text Solution

    |

  9. What are the dimensions of gas constant ?

    Text Solution

    |

  10. The order of magnitude of 499 is 2, then the order of magnitude of 501...

    Text Solution

    |

  11. The order of magnitude of 0.00701 is

    Text Solution

    |

  12. The order of magnitude of 379 is

    Text Solution

    |

  13. If X = a + b , the maximum percentage error in the measurement of X wi...

    Text Solution

    |

  14. Which of the following is the most precise instrument for measuring le...

    Text Solution

    |

  15. The number of significiant figures in 5.69 xx 10^(15) kg is

    Text Solution

    |

  16. The position of a particle at time t is given by the relation x(t) = (...

    Text Solution

    |

  17. The time dependence of a physical quantity P is given by P = P(0)e^(-a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If C ( the velocity of light ) g , ( the acceleration due to gravity),...

    Text Solution

    |