Home
Class 12
PHYSICS
If the energy ( E) ,velocity (v) and for...

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

A

`Ev^2`

B

`Ev^-2`

C

`Fv^-1`

D

`Fv^-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `mpropE^xv^yF^z`
By substituting the following dimensions:
`[E]=[ML^2T^-2]`,`[v]=[LT^-1]`,`[F]=[MLT^-2]`
and by equating the both sides
Promotional Banner

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise subjective type|51 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise Multiple correct Answer Type|54 Videos

  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS ENGLISH|Exercise Integer|5 Videos

  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise Single Answer Correct Type|22 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If force (F) , velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are (a) [FvT^(-1)] (b) [FvT^(-2)] (c) [Fv^(-1)T^(-1)] (d) [Fv^(-1)T]

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

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

If area (A), density (D) and force (F) are taken as fundamental quantities, find the dimensional formula for young's modulus.

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

Can pressure (p) ,density (p) and velocity (v) be taken as fundamental quantities ?

If velocity,time and force were chosen as basic quantities, find the dimensions of mass.

CENGAGE PHYSICS ENGLISH-CENGAGE PHYSICS DPP-Single Correct Answer type
  1. If the time period (T)of vibration of a liquid drop depends on surface...

    Text Solution

    |

  2. If pressure P, velocity V and time T are taken as fundamental physical...

    Text Solution

    |

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

    Text Solution

    |

  4. A physical quantity x depends on quantities y and z as follows : x = ...

    Text Solution

    |

  5. If the velocity of light (c ) , gravitational constant (G) , and Planc...

    Text Solution

    |

  6. If force (F), length L and time T are taken as fundamental units, the ...

    Text Solution

    |

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

    Text Solution

    |

  8. In a system of units, if force (F), acceleration (A) and time (T) are ...

    Text Solution

    |

  9. Density of a liquid in CGS system is 0.625(g)/(cm^3). What is its magn...

    Text Solution

    |

  10. If the speed v of a particle of mass m as function of time t is given ...

    Text Solution

    |

  11. What is the number of significant figures in 0.0310xx10^(3)?

    Text Solution

    |

  12. The number of significant figures in 0.06900 is

    Text Solution

    |

  13. The sum of the numbers 436.32, 227.2 and 0.301 in appropriate signific...

    Text Solution

    |

  14. The mass and volume of a body are 4.237 g and 2.5 "cm"^(3), respective...

    Text Solution

    |

  15. The numbers 2.745 and 2.735 on rounding off to 3 significant figures w...

    Text Solution

    |

  16. The length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm,...

    Text Solution

    |

  17. The dicimal equivalent of (1)/(20) up to three significant figures is

    Text Solution

    |

  18. In the context of accuracy of measurement and significant figures in e...

    Text Solution

    |

  19. If L=2.331cm,B=2.1cm, then L+B=

    Text Solution

    |

  20. Measure of two quantities along with the precision of respective measu...

    Text Solution

    |