Home
Class 11
PHYSICS
If V denotes te potential difference acr...

If `V` denotes te potential difference across the plate of a capacitor of capacitance `C`, the dimensions of `CV^(2)` are

A

Not expressible in MLT

B

`MLT^(-2)`

C

`M^2 LT^(-1)`

D

`ML^(2) T^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Energy stored in capacitor `=1/2 CV^2rarr[ML^2T^(-2)]`
Young.s modulus `=("Stress")/("Strain") = [ML^(-1)T^(-2)]`
Promotional Banner

Topper's Solved these Questions

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Errors of Measurement)|35 Videos

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise PAST YEARS QUESTIONS |24 Videos

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise ASSERTION & REASON |17 Videos

  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise Assertion & Reason|22 Videos

  • WAVES AND SOUND

    ERRORLESS|Exercise ASSERTION & REASON |25 Videos

Similar Questions

Explore conceptually related problems

In the circuit diagram find the potential difference across the plates of capacitor C

Given that C denotes capacitance of a capacitor and V is the potential difference across its plates. Then the dimensions of CV^(2) are same as that of

Two, capacitors A and B are connected in series across a 100 V supply and it is observed that the potential difference across them are 60 V and 40 V . A capacitor of 2 p.F capacitance is now connected in parallel with A and the potential difference across B rises to 90 V . Determine the capacitance of A and B

The potential difference between the plates of a parallel plate capacitor of capacitance 2 mu F is changing at the rate of 10^(5)V//s . What is the displacement current in the dielectric of the capacitor?

Two capacitors of capacitance C and 3C are charged to potential difference V_(0) and 2V_(0) respectively, and connected to an inductor of inductance L as shown in figure. Initially the current in the inductor is zero. Now, the switch S is closed. Potential difference across capacitor of capacitance C when the current in the cirucit is maximum is

Two capacitors of capacitance C and 3C are charged to potential difference V_(0) and 2V_(0) respectively, and connected to an inductor of inductance L as shown in figure. Initially the current in the inductor is zero. Now, the switch S is closed. Potential difference across capacitor of capacitance 3C when the current in the cirucit is maximum is :

If the potential difference across a plane parallel plate capacitor is doubled then the potential energy of the capacitor is doubled then the potential energy of the capacitor becomes four times under all conditions The potential energy U stored in the capacitor is U=(1)/(2) CV^(2) , where C and V have usual meaning.

In the circuit shown, the potential difference across the 3muF capacitor is V and the equivalent capacitance between A and B is C Then:

ERRORLESS-UNITS, DIMENSIONS AND MEASUREMENT-NCERT BASED QUESTIONS (Dimensions)
  1. Which of the following is dimensionally correct

    Text Solution

    |

  2. The equation of the state of some gases can be expressed as (P +(a)/(V...

    Text Solution

    |

  3. If V denotes te potential difference across the plate of a capacitor o...

    Text Solution

    |

  4. Dimensions of specific heat are

    Text Solution

    |

  5. The dimensional formula of physical quantity is [M^(a)L^(b)T^(c)].Then...

    Text Solution

    |

  6. Which two of the following five physical parameters have the same dime...

    Text Solution

    |

  7. The velocity of a paritcle (v) at an instant t is given by v=at+bt^(2)...

    Text Solution

    |

  8. The velocity (V) of a particle (in cm/s) is given in terms of time (t)...

    Text Solution

    |

  9. Breaking force per unit area of cross section of a wire is called

    Text Solution

    |

  10. Surface tension has the same dimensions as that of

    Text Solution

    |

  11. A physical quantity X is defined by the formula X=(IFv^(2))/(WL^(3))...

    Text Solution

    |

  12. The dimensions of gravitational constant G and the moment of inertia a...

    Text Solution

    |

  13. Out of following four dimensional quantities, which one quantity is to...

    Text Solution

    |

  14. ML^(-1)T^(-2) represents

    Text Solution

    |

  15. The force F on a sphere of radius r moving in a medium with velocity v...

    Text Solution

    |

  16. The dimension of coefficient of viscosity is :

    Text Solution

    |

  17. A force F is given by F = at + bt^(2) , where t is time . What are the...

    Text Solution

    |

  18. ML^(3) T^(-1) Q^(-2) is dimension of

    Text Solution

    |

  19. The fundamental physical quantites quanties that have same dimension i...

    Text Solution

    |

  20. The physical quantity which has dimensional formula as that of ("energ...

    Text Solution

    |