Home
Class 12
PHYSICS
Which of the following units denotes the...

Which of the following units denotes the dimension `M^1 L^2 Q^(-2)` ? (where Q denotes the electric charge)

A

`H/m^2`

B

Wb

C

`(Wb)/m^2`

D

H(Henry)

Text Solution

Verified by Experts

The correct Answer is:
D
Energy stored in inductor ,
`U=1/2LI^2`
`therefore L=(2U)/I^2`
`therefore` Dimension of L=`"Dimension of U"/("Dimension of" I^2)`
`=(M^1L^2T^(-2))/(Q^1T^(-1))^2`
`=(M^1L^2 T^(-2))/(Q^2T^(-2))`
`=M^1 L^2 Q^(-2) =H`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    KUMAR PRAKASHAN|Exercise Section D MCQs (From DARPAN Based on Textbook )|121 Videos

  • ELECTRIC CHARGES AND FIELDS

    KUMAR PRAKASHAN|Exercise SECTION D MCQS ASKED IN COMPETITIVE EXAMES (MCQS AKSED IN BOARD EXAM AND GUJCET)|14 Videos

  • ELECTROMAGNETIC WAVES

    KUMAR PRAKASHAN|Exercise BOARD.S QUESTION PAPER MARCH - 2020 (PART - B) SECTION - C|5 Videos

Similar Questions

Explore conceptually related problems

Write six physical quantities which have dimension of M^(1)L^(2)T^(-2)

The range of the function y=sqrt(2{x}-{x}^2-3/4) (where, denotes the fractional part) is

domin of f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to Q_0 and then connected to the L and R as shown below: If a student plots graphs of the square of maximum charge (Q_"Max"^2) on the capacitor with time (t) for two different values L_1 and L_2 (L_1 gt L_2) of L then which of the following represents this graph correctly ? (plots are schematic and not drawn to scale)

find the domain of f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

Four charges Q_(1), Q_(2), Q_(3) and Q_(4) oof same magnitude are fixed along the x axis at x=-2a, -a, +a and +2a , respectively. A positive charge q is placed on the positive y axis at a distance b gt 0 . Four options of the signs of these charges are given in List I. The direction of the forces on the charge q is given in List II. Match List I with List II and select the correct answer using the code given below the lists. {:(,"List-I",,,"List-II"),((P),Q_(1)","Q_(2)","Q_(3)","Q_(4) "all positive",,(1),+x),((Q),Q_(1)","Q_(2) " positive, "Q_(3)","Q_(4)" negative",,(2),-x),((R),Q_(1)","Q_(4)" positive ,"Q_(2)","Q_(3)" negative",,(3),+y),((S),Q_(1)","Q_(3)" positive , "Q_(2)","Q_(4)" negative",,(4),-y):}

Number of solutions of the equation cos[x]=e^(2x-1),x in [0,2pi] , where[.] denotes the greatest integer function is

KUMAR PRAKASHAN-ELECTROMAGNETIC INDUCTION-Section D MCQs (MCQs asked in Competitive Exams )
  1. In a uniform magnetic field of induction B a wire in the form of a sem...

    Text Solution

    |

  2. One conducing U tube can be slide inside another as shown in figure, m...

    Text Solution

    |

  3. Which of the following units denotes the dimension M^1 L^2 Q^(-2) ? (w...

    Text Solution

    |

  4. The flux linked with a coil at any instant 't' is given by phi=10t^2-5...

    Text Solution

    |

  5. Two coaxial solenoids are made by winding thin insulated wire over a p...

    Text Solution

    |

  6. In a coil of resistance 100 Omega , a current is induced by changing t...

    Text Solution

    |

  7. A planar loop of wire rotates in a uniform magnetic field. Initially a...

    Text Solution

    |

  8. The given loop is kept in a uniform magnetic field perpendicular to th...

    Text Solution

    |

  9. A conducting square frame of side 'a' and a long straight wire carryin...

    Text Solution

    |

  10. An electron moves on a straight line path XY as shown. The abcd is a c...

    Text Solution

    |

  11. A long solenoid has 1000 turns. When a current of 4 A flows through it...

    Text Solution

    |

  12. A uniform magnetic field is restricted within a region of radius r. Th...

    Text Solution

    |

  13. A circular coil of radius 10 cm, 500 turns and resistance 2Omega is pl...

    Text Solution

    |

  14. A bulb connected in series with an air-cored solenoid is lit by an a.c...

    Text Solution

    |

  15. Inside a parallel plate capacitor the electric field E varies with tim...

    Text Solution

    |

  16. The magnetic potential energy stored in a certain inductor is 25 mJ, w...

    Text Solution

    |

  17. A 800 turn coil of effective area 0.05 m^2 is kept perpendicular to a ...

    Text Solution

    |

  18. In which of the following devices, the eddy current effect is not used...

    Text Solution

    |

  19. A conducting ring of radius r is placed perpendicular inside a time va...

    Text Solution

    |

  20. A conducting coil having 500 turns has cross sectional area 0.15 m^2. ...

    Text Solution

    |