Home
Class 11
PHYSICS
A quantity X is given by in(0) L(DeltaV)...

A quantity X is given by `in_(0) L(DeltaV)/(Delta t)`, where `in_(0)` is the permittivity of free space, L is a length, `DeltaV` is a potential difference and `Delta t` is a time interval. The dimensional formula for X is the same as that of -

A

Resistance

B

charge

C

voltage

D

current

Text Solution

Verified by Experts

The correct Answer is:
d

Dimensionally `epsi_(0)L = C`, where `C =` capacitance
Dimensionally `C DeltaV = q`, where q is charge
Dimensionally `q/(Delta t)=I`, where I is current
Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSIONS

    GRB PUBLICATION|Exercise More than one choice is correct|17 Videos
  • UNITS AND DIMENSIONS

    GRB PUBLICATION|Exercise Matrix -Match Type|10 Videos
  • UNITS AND DIMENSIONS

    GRB PUBLICATION|Exercise Problem For Practice|26 Videos
  • MOTION IN TWO AND THREE DIMENSIONS

    GRB PUBLICATION|Exercise All Questions|210 Videos
  • VECTORS

    GRB PUBLICATION|Exercise PASSAGE -3|3 Videos

Similar Questions

Explore conceptually related problems

a quantity X is given by epsilon_(0)L(DeltaV)/(Deltat) where in_(0) is the permittivity of the free space, L is a length, DeltaV is a potential difference and Deltat is a time interval. The dimensinal formula for X is the same as that of

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 quantity X is given by epsilon_(p) L(delta V)/(delta t) , where epsilon_(p) is the permitivity of free space ,L is a length , delta V is a potential diffrence and deltat is a time interval . The dimensional formula for X is the seme 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) .

A quantity y is given by y=epsilon_0L(dV)/dt , where epsilon_0 is the permittivity of free space, L is length, dV is small potential difference and dt is small time interval. The dimensional formula for y is same as that of

The quantity X = (epsilon_(0)LV)/(t) where epsilon_(0) is the permittivity of free space, L is length, V is the potential difference and t is time. The dimensions of X are the same as that of

GRB PUBLICATION-UNITS AND DIMENSIONS-Objective Type Question
  1. A spectrometer gives the following reading when used to measure the an...

    Text Solution

    |

  2. If momentum (P), area (A) and time (T) are assumed to be formula :

    Text Solution

    |

  3. The quantity which has the same dimensions as that of gravitational po...

    Text Solution

    |

  4. The percentage error in measuring M, L and T are 1%, 1.5 % and 3 % res...

    Text Solution

    |

  5. The dimensions of 1/2 in(0) E^(2) (in(0): permittivity of free space, ...

    Text Solution

    |

  6. A quantity X is given by in(0) L(DeltaV)/(Delta t), where in(0) is the...

    Text Solution

    |

  7. A cube has a side of length 1.2 xx 10^(-2)m. Calculate its volume.

    Text Solution

    |

  8. Pressure depends on distance as, P = (alpha)/(beta)exp((-alpha z)/(k t...

    Text Solution

    |

  9. A wire of length l = 6+- 0.06 cm and radius r = 0.5 +- 0.005 cm and ma...

    Text Solution

    |

  10. Which of the following sets have different dimensions ?

    Text Solution

    |

  11. The circular scale of a screw gauge has 50 divisions and pitch of 0.5 ...

    Text Solution

    |

  12. A student performs an experiment for determination of g [ = ( 4 pi^(2...

    Text Solution

    |

  13. A student performs an experiment to determine the Young's modulus of a...

    Text Solution

    |

  14. Student I ,II , and III perform an experiment for measuring the accele...

    Text Solution

    |

  15. A vernier calipers has 1mm marks on the main scale. It has 20 equal di...

    Text Solution

    |

  16. The density of a solid ball is to be determined in an experiment. The ...

    Text Solution

    |

  17. In the determination if Young's modulus ((Y = (4MLg)/(pild^(2)) by usi...

    Text Solution

    |

  18. The diameter of a cylinder is measured using a Vernier callipers with...

    Text Solution

    |

  19. Using the expression 2d sin theta = lambda, one calculates the values ...

    Text Solution

    |

  20. There are two Vernier calipers both of which have 1cm divided into 10 ...

    Text Solution

    |