Home
Class 11
PHYSICS
If force (F), velocity (V) and time (T) ...

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

A

`[F V T^(-1)]`

B

`[F V T^(-2)]`

C

`[F V^(-1)T^(-1)]`

D

`[F V^(-1)T]`

Text Solution

Verified by Experts

The correct Answer is:
D

[mass] = `[("Force")/("Acceleration")] = [("Force")/("Velocity"//"time")]`
`" " = [F V^(-1) T]`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-II AIPMT 2015|1 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-II RE-AIPMT 2015|1 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-II AIIMS 2013|1 Videos
  • MISCELLANEOUS

    ALLEN|Exercise SUBJECTIVE QUESTION|9 Videos
  • SEMICONDUCTORS

    ALLEN|Exercise Part-3(Exercise-4)|51 Videos

Similar Questions

Explore conceptually related problems

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),velocity (V) and time (T) are chosen as the fundamental quantities, then the dimensions of surface tension will be. (Surface tension=force/length) (A) EV^(-2)T^(-1) " " (B) EV^(-1)T^(-3) " " (C)E^(-2)V^(-1)T^(-3) " " (D)EV^(-2)T^(-2)

Knowledge Check

  • 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

    A
    `FA^2T`
    B
    `FAT^2`
    C
    `F^2AT`
    D
    `FAT`
  • If force F velocity V and time T are taken as fundamental units, find the dimensions of force in the dimensional formula of pressure

    A
    `3`
    B
    `5`
    C
    `6`
    D
    `1`
  • If force, length and time are taken as fundamental units, then the dimensions of mass will be

    A
    `[F^(1)L^(2)T^(-2)]`
    B
    `[F^(1)L^(-1)T^(2)]`
    C
    `[F^(0)L^(1)T^(-2)]`
    D
    `[F^(1)L^(1)T^(-1)]`
  • Similar Questions

    Explore conceptually related problems

    If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass (m) in terms of t, v, and l is:

    If the energy ( E) ,velocity (v) and force (F) be taken as fundamental quantities,then the dimension of mass will be

    If energy (E). velocity (V) and force (F) be taken as fundamental quantity, then what are the dimensions of mass:

    If energy (E ) , velocity (V) and time (T) are chosen as the fundamental quantities , the dimensions formula of surface tension will be

    If force (F) , work (W) and velocity (V) are taken as fundamental quantites then the dimensional formula of Time (T) is