Home
Class 11
PHYSICS
a quantity X is given by epsilon(0)L(De...

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

(a) resistance

B

(b) charge

C

( c ) voltage

D

(d) current

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Dimensionlly `epsilon_(0)L = Capacitance ( c )`
:. `Epsilon_(0)L(DeltaV)/(Deltat) = (CDeltaV)/(Deltat) = (q)/(Deltat) = I`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|69 Videos

  • WAVES

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|122 Videos

Similar Questions

Explore conceptually related problems

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 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

SUNIL BATRA (41 YEARS IITJEE PHYSICS)-UNITS & MEASUREMENTS-JEE Main And Advanced
  1. The equation of state for real gas is given by ((p + (a)/(V^(2))(V - b...

    Text Solution

    |

  2. The dimension of ((1)/(2))epsilon(0)E^(2) (epsilon(0) : permittivity o...

    Text Solution

    |

  3. a quantity X is given by epsilon(0)L(DeltaV)/(Deltat) where in(0) is ...

    Text Solution

    |

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

    Text Solution

    |

  5. Pressure depends on distance as, P = (alpha)/(beta)exp(-(alphaz)/(kthe...

    Text Solution

    |

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

    Text Solution

    |

  7. Which of the following set have different dimensions?

    Text Solution

    |

  8. In a screw gauge, the zero of mainscale coincides with fifth division ...

    Text Solution

    |

  9. A student performs an experiment an for determination of g(=(4pi^(2)l)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. In the determination of Young's modulus (Y = (4MLg)/(pi// d^2) ) by us...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The dimension of the quantities in one (or more) of the following pair...

    Text Solution

    |

  17. The pairs of physical quantities that have the same dimensions is (are...

    Text Solution

    |

  18. The SI unit of inductance, the henry can be written as

    Text Solution

    |

  19. Let [epsilon(0)] denote the dimensional formula of the permittivity of...

    Text Solution

    |

  20. A student uses a simple pendulum of exactly 1m length to determine g, ...

    Text Solution

    |