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Find the dimensions of energy density....

Find the dimensions of energy density.

Text Solution

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The correct Answer is:
A, B
Energy density = energy per unit volume
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Taking "force" F, "length" L and "time" T to be the fundemental equations , find the dimensions of (a) density (b) pressure (c ) momentun and (d) energy

Knowledge Check

  • Assertion : Pressure has the dimensions of energy density. Reason : Energy density = ("energy")/("volume")=(["ML"^(2)"T"^(-2)])/(["L"^(3)]) =["ML"^(-1)"T"^(-2)]="pressure"

    A
    If both Assertion and Reason are correct and Reason is the correct explaination of Assertion.
    B
    If both Assertion and Reason are correct but Reason is not the correct explaination of Assertion.
    C
    If Assertion is true but Reason is false.
    D
    If Assertion is false but Reason is true.

  • Find the dimensions of electric permittivity.

    A
    `[A^2M^(-1)L^(-3)T^4]`
    B
    `[A^2M^(-1)L^(-3)T^0]`
    C
    `[AM^(-1)L^(-3)T^4]`
    D
    `[A^2M^(0)L^(-3)T^4]`

  • Find the dimensions of electric permittivity.

    A
    `[A^2M^(-1)L^(-3)T^4]`
    B
    `[A^2M^(-1)L^(-3)T^0]`
    C
    `[AM^(-1)L^(-3)T^4]`
    D
    `[A^2M^(0)L^(-3)T^4]`

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    Which two of the following five physical parameters have the same dimensions? Energy density Refractive index Dielectric constant Young’s modulus Magnetic field

    If velocity , time and force were chosen as basic quantities , find the dimensions of mass and energy .

    If force [F] acceleration [A] time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.

    Which two of the following five physical paremeters have the same dimensions ? 1. energy density 2. refractive index 3. dielectric constant 4. Young's modulus 5. magnetic field.

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