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In the formula X = 3YZ^2 , X and Z have ...

In the formula `X = 3YZ^2 , X and Z` have dimensions of capacitance and magnetic induction respectively . Find the dimensions of Y in MKSQ system.

Text Solution

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`M^(-3) L^(-2) T^(4) Q^4`
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Knowledge Check

  • If M is the magnetic moment, B is the magnetic induction and T is the time, then MBT^2 has the dimensions of

    A
    Intensity of magnetization
    B
    Intensity of magnetic field
    C
    Moment of Inertia
    D
    Magnetic permeability

  • If M is the magnetic moment, B is the magnetic induction and T is the time then MBT^(2) has the dimensions of

    A
    Intensity of magnetization
    B
    Intensity of magnetic field
    C
    Moment of Inertia
    D
    Magnetic permeability

  • (x^(2))/("mass") has the dimensions of kinetic energy. Then x has the dimensions of

    A
    Pressure
    B
    Torque
    C
    Moment of Inertia
    D
    Impulse

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    Examine whether the following system of equations are consistent or inconsistent and if consistent, find the complete solution, x+y+z = 1, 2x+y+z = 2, x+2y+2z = 1 .

    Find the equation of the image of the plane x-2y+2z-3=0 in the plane x+y+z=1 .

    (x^(2))/("mass") has the dimensions of kinetic energy. Then x has the dimensions of

    (x^2)/("mass") has dimensions of kinetic energy. Then x has the dimensions of

    {:("List-I","List-2"),((a)"Same negative dimensions of mass ",(e)"Pressure, Rydberg constant "),((b)"Same negative dimensions of length", (f) "Magnetic induction field, potential "),((c)"Same dimensionof time " ,(g) "Capacity, Universal gravitational constant "),((d) "Same dimensions ofcurrent " ,(h)"Energy density, Surface tension"):}

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