Home
Class 11
PHYSICS
Find the dimensional formulae of a the...

Find the dimensional formulae of
a the charge Q.
the potential V,
c. the capacitance C and
d the resistance R.
Some of the equations containing these quantities are `
`Q=It, U=VIt, Q=CV and V=RI,`
where I denotes the electric current, t is time and U is energy.

Text Solution

Verified by Experts

a. `Q=It, Hence [Q]=IT`
b. U=VIt`
or, `ML^2T^-2=[V]IT` or, `[V]=ML^2I^-1T^-5`
c. ` Q=CV`
or, `IG=[C]ML^2I^-1T^-2 or , [C]=M^-1L^-2I^2T^4`
or, `R=V/I , or [R]= (ML^2I^-1T^-2)/I= ML^2I^-2T^(-3)`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO PHYSICS

    HC VERMA|Exercise Question for short Answer|7 Videos
  • INTRODUCTION TO PHYSICS

    HC VERMA|Exercise Objective 1|6 Videos
  • HEAT TRANSFER

    HC VERMA|Exercise EXERCIESE|55 Videos
  • KINETIC THEORY OF GASES

    HC VERMA|Exercise All Questions|120 Videos

Similar Questions

Explore conceptually related problems

Find the dimensions of a. the specific heat capacity c, b. the coeficient of linear expansion alpha and c. the gas constant R Some of the equations involving these quantities are Q=mc(T_2-T_1), l_t=l_0[1+alpha(T_2-T_1)] and PV=nRT.

Find the dimensional formulae of the following quantities: a. the universal constant of gravitation G, b. the surface tension S, c. the thermal conductivity k and d. the coeficient of viscosity eta . Some equation involving these quantities are F=(Gm_1m_2)/r^2, S= (rho g r h)/2, Q=k(A(theta_2-theta_1)t)/d and F=- eta A (v_2-v_1)/(x_2-x_1) where the symbols have their usual meanings.

The energy stored in a capacitor of capacitance Chaving a charge Q under a potential V is

Find the dimensions of a. electric dipole moment p and b. magnetic dipole moment M. The defining equations are p=q.d and M=IA, whre d is distance, A is area, q is charge and I is current.

Find the equation of the tangent to the c u r v ey={x^2sin1/x ,x!=0 0,x=0 at the origin

Figures (a) and (b) show the field lines of a positive and negative point charge respectively. (a). Gives the sign of the potential difference V_(P)-V_(Q) : V_(B)-V_(A) (b) Given the sign of the potential energy difference of a small negative charge between the points Q and P, A and b (c) Give the sign of the work done by the field in moving a small positive charge from Q to P. (d) Give the sign of the work done by external agencyin moving a small negative charge from B to A. (e) Does the kinetic energy of a small negative charge increase or decrease in going from B to A?

A capacitor of capacitor 5.00 muF is charged to 24.0 V and another capacitor of capacitance 6.0muF is charged to 12.0V (a) Find the energy stored in each capacitor .(b)The positive plates of the first capacitor is now connected to the negative plate of the second and vice versa . Find the new charges on the capacitors .(c)Find the loss of electrostatic energy during the process .(d)Where does this energy go?

A capacitor having a capacitance of 100muF is charged to a potential difference of 24V . The charging battery is disconnected and the capacitor is connected to another battery of emf 12V with the positive plate of the capacitor joined with the positive terminal of the battery . (a ) Find the charges on the capacitor before and after the reconnection . (b ) Find the charge flown through the 12V battery . (c ) Is work done by the battery or is it done on the battery ? find its magnitude . (d ) Find the decrease in electrostatic field energy . (e ) Find the best developed during the flow of charge after reconnection.

HC VERMA-INTRODUCTION TO PHYSICS-Exercises
  1. Find the dimensional formulae of a the charge Q. the potential V, ...

    Text Solution

    |

  2. Find the dimensions of a. linear momentum b. frequency and c. pr...

    Text Solution

    |

  3. Find the dimensions of a. angular speed omega angular acceleration...

    Text Solution

    |

  4. Find the dimensions of a. electric field E, magnetic field B and ...

    Text Solution

    |

  5. Find the dimensions of a. electric dipole moment p and b. magnetic ...

    Text Solution

    |

  6. The dimensions of Planck's constant are same as

    Text Solution

    |

  7. Find the dimensions of a. the specific heat capacity c, b. the coe...

    Text Solution

    |

  8. Taking foce, length and time to be the fundamental quantities find the...

    Text Solution

    |

  9. Suppose the acceleration due to gravity at a place is 10 m/s^2. Find i...

    Text Solution

    |

  10. The average speed of a snails is 0.020 miles/ hour and that of a leopa...

    Text Solution

    |

  11. The height of mercury column in a barometer in a Calcutta laboratory ...

    Text Solution

    |

  12. Express the power of a 100 wtt bulb in CGS unit.

    Text Solution

    |

  13. The normal duratioin of I.Sc. Physics practical period in Indian colle...

    Text Solution

    |

  14. The surface tension of water is 72 dyne/cm. convert it in SI unit.

    Text Solution

    |

  15. The kinetic energy K of a rotating body depends on its moment of inert...

    Text Solution

    |

  16. Theory of relativity reveals that mass can be converted into energy. T...

    Text Solution

    |

  17. Let I= current through a conductor, R= its resistance and V= potential...

    Text Solution

    |

  18. The frequency of vibration of string depends on the length L between t...

    Text Solution

    |

  19. Test if the following equations are dimensionally correct: (a) h=(2...

    Text Solution

    |

  20. Let x and a stand of distance is int(dx)/(sqrt(a^2-x^2)) = (1)/(alpha)...

    Text Solution

    |