Home
Class 12
PHYSICS
If epsilon(0), B, V represent permitibvi...

If `epsilon_(0), B, V` represent permitibvity of free space, magnitude of magnetic field and volume of space respectively, then the dimension of `epsilon_(0)B^(2)V` is `[M^(a)L^(b)T^(c)]`. Find `a+b+c`.

Text Solution

Verified by Experts

The correct Answer is:
1

`epsilon_(0)VB^(2)-=(epsilonE^(2))/(v^(2))V [B-=E/v]`
`-=(u_(e))/(2v^(2))V-= ("Energy")/(("speed")^(2))-=` mass, so `a=1, b=0, c=0`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    FIITJEE|Exercise PHYSICS|747 Videos
  • SIMPLE HARMONIC MOTION

    FIITJEE|Exercise Assignment Problems (Objective) (Level-II)|20 Videos
  • WORK, ENERGY AND POWER

    FIITJEE|Exercise COMPREHENSIONS ( Comprehension-II)|5 Videos

Similar Questions

Explore conceptually related problems

If m,e,epsilon_(0) h and c denote mass ,electron , change of electron, plank 's constant and speed of light , respectively , then the dimensions of (me^(4))/(epsilon_(0)^(2) h^(2) c) are

The dimensions of 1/2 epsilon_(0)E^(2) (epsilon_(0)= permittivity of free space, E= electric field) is

The dimension of ((1)/(2))epsilon_(0)E^(2) ( epsilon_(0) : permittivity of free space, E electric field

If epsilon_(0) is permittivity of free space, e is charge of proton, G is universal gravitational constant and m_(p) is mass of a proton then the dimensional formula for (e^(2))/(4pi epsilon_(0)Gm_(p)^(2)) is

A quantity X is given by epsilon_(0) L(DeltaV)/(Deltat) , where epsilon_(0) is the permittivity of free space L is a length DeltaV is a potnetial difference and Delta is a time internval. The dimensional forumla to X is the same as that of

(a) In the formula X=3YZ^(2) , X and Z have dimensions of capcitnce and magnetic inlduction, respectively. What are the dimensions of Y in MKSQ system? (b) A qunatity X is given by epsilon_(0) L ((Delta)V)/((Delta)r) , where epsilon_(0) is the permittivity of free space, L is a lenght, DeltaV is a potential difference and Deltat is a time interval. Find the dimensions of X . (c) If E,M,J and G denote energy , mass , angular momentum and gravitational constant, respectively. find dimensons of (E J^(2))/(M^(5) G^(2)) (d) If e,h,c and epsilon_(0) are electronic charge, Planck 's constant speed of light and permittivity of free space. Find the dimensions of (e^(2))/(2epsilon_(0)hc) .

FIITJEE-TEST PAPERS-PHYSICS
  1. In an undershot water wheel, the cross-sectional ara a=0.1m^(2) of the...

    Text Solution

    |

  2. A man of height =3//2m,wants to see himself in plane mirror from top t...

    Text Solution

    |

  3. If epsilon(0), B, V represent permitibvity of free space, magnitude of...

    Text Solution

    |

  4. Choose the correct statement(s).

    Text Solution

    |

  5. When a yellow light of wavelength 6000Å from a sodium lamp falls on a ...

    Text Solution

    |

  6. An electromagnetic radiation of wavelength ranging between 400nm and 1...

    Text Solution

    |

  7. A certain ideal spring stretches 20cm when m(1)=40gm mass is hung from...

    Text Solution

    |

  8. I am a verneir Calliper. I have a task to measure the length of a penc...

    Text Solution

    |

  9. A triple slit experiment is performed as shown in the figure with mono...

    Text Solution

    |

  10. One end of thin aluminium rod (cross -sectional Area =10^(-6)m^(2)) is...

    Text Solution

    |

  11. There are two cylinder shaped wooden billets, each having a mass of ma...

    Text Solution

    |

  12. Consider a wave sent down a string in the positive direction whose equ...

    Text Solution

    |

  13. Consider a wave sent down a string in the positive direction whose equ...

    Text Solution

    |

  14. ABC is an isosceles right angled triangular refecting prism of average...

    Text Solution

    |

  15. ABC is an isosceles right angled triangular refecting prism of average...

    Text Solution

    |

  16. If the dimension of a physical quantity (EB)/(mu) is M^(a)L^(b)T^(c). ...

    Text Solution

    |

  17. A 200cm length of the wire weighs 0.6 gm. If the tension in the wire c...

    Text Solution

    |

  18. A glass sphere of refractive index 1.5 forms the real image of object ...

    Text Solution

    |

  19. A large cylindrical container with open top contains a liquid upto hei...

    Text Solution

    |

  20. The figure shows a crude type of perfume atomizer. When bulb at A is c...

    Text Solution

    |