Home
Class 11
PHYSICS
The square root of the product of induct...

The square root of the product of inductance and capacitance has the dimension of

A

length

B

time

C

mass

D

no dimension

Text Solution

Verified by Experts

The correct Answer is:
B

`f=(1)/(2pisqrt(LC))`
or `sqrt(LC)=(1)/(2pif)=(T)/(2pi)`
Thus, `sqrt(LC)` has the dimensions of time.
Promotional Banner

Topper's Solved these Questions

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Assertion and reason|15 Videos
  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Match the column|6 Videos
  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Check Point 1.3|10 Videos
  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos
  • VECTORS

    DC PANDEY|Exercise Medical enrances gallery|9 Videos

Similar Questions

Explore conceptually related problems

The squre root of the prioduct of indutance and capacitance has the dimension of

Capacitance has dimensions :

Show that RC, where R is the resistance and C is the capacitance, is of the dimension of time.

If L,R, C denote inductance, resistance and capacitance, respectively .Then dimensions of (1)/(R^(2)C) are

Show that the product of pressure and volume i.e., pV has the dimensions of energy.

In a series LCR circuit, the voltage across the inductance and capacitance are not

The symbols L, C, and R represent inductance, capacitance, and resistance, respectively. The dimensions of frequency are given by the combination

DC PANDEY-UNITS, DIMENSIONS & ERROR ANALYSIS -Chapter exercises (taking it together)
  1. if the randon error in the arithmetic mean of 50 observations is alpha...

    Text Solution

    |

  2. Velocity v is given by v=at^(2)+bt+c, where t is time. What are the di...

    Text Solution

    |

  3. The square root of the product of inductance and capacitance has the d...

    Text Solution

    |

  4. The frequency of vibration of string is given by v=p/(2l)[F/m]^(1//2)....

    Text Solution

    |

  5. The numbers 2.745 and 2.735 on rounding off to 3 significant figures w...

    Text Solution

    |

  6. The mass and volume of a body are 4.237 g and 2.5cm^(3) respectively. ...

    Text Solution

    |

  7. The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, ...

    Text Solution

    |

  8. Which of the following pairs of physical quantites does not have same ...

    Text Solution

    |

  9. Measure of two quantites along with the precision of respective measur...

    Text Solution

    |

  10. Which of the following measurement is most precise?

    Text Solution

    |

  11. The mean length of an object is 5cm. Which of the following measureme...

    Text Solution

    |

  12. Young's modulus of steel is 1.9xx10^(11) N//m^2 When expressed is CGS ...

    Text Solution

    |

  13. If the energy ( E) ,velocity (v) and force (F) be taken as fundamental...

    Text Solution

    |

  14. If "force" F, "length" L and "time T" are taken as fundamental units ...

    Text Solution

    |

  15. From the dimensional consideration, which of the following equation is...

    Text Solution

    |

  16. If voltage V=(100pm5) V and current I=(10pm0.2) A, the percentage err...

    Text Solution

    |

  17. A wire has a mass (0.3+-0.003)g, radius (0.5+-0.005)mm and length (6+-...

    Text Solution

    |

  18. If x=10.0pm0.1 and y=10.0pm0.1, then 2x-2y is equal to

    Text Solution

    |

  19. The dimensional formula for molar thermal capacity is same as that of

    Text Solution

    |

  20. Dimensions of ohm are same as that of (where h is Planck's constant an...

    Text Solution

    |