Free Education Initiatives Quiz
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Questions and Answers

What is the dimensional formula of Absolute permeability?

  • MLT^-2A^-1
  • MLT^-1A^-2
  • MLT^-1A^-1
  • M^2LT^-2A^-2 (correct)

    • What is the formula for the time constant (τ) of an inductor-resistor (LR) circuit?

  • [M^0L^0T]
  • [M^0L^0T^-1] (correct)
  • [M^0L^0T^2]
  • [M^0L^0T]

    • What is the dimensional formula of Resistance (R)?

  • MLT^-2A^-1
  • ML^2T^-2A^-2
  • ML^2T^-3A^-2
  • MLT^-2A^-2 (correct)

    • What is the formula for the energy density (u) in terms of electric and magnetic fields?

    <p>(ε0E^2 + B^2) / (2μ0)</p> Signup and view all the answers

    What is the dimensional formula of Heat capacity?

    <p>ML^2T^-1K^-1</p> Signup and view all the answers

    Study Notes

    Absolute Permeability

    • The dimensional formula of absolute permeability is [M L T⁻² A⁻²]
    • This can be derived from the relationship μ = B / (μ₀H)
    • Where B is magnetic field, μ₀ is permeability of free space and H is magnetic field intensity.

    Time constant (τ) of an inductor-resistor (LR) circuit

    • The formula for the time constant τ of an LR circuit is τ = L/R
    • Where L is the inductance of the inductor and R is the resistance of the resistor.
    • The time constant is the time it takes for the current in an LR circuit to reach approximately 63.2% of its final value.

    Resistance (R)

    • The dimensional formula of Resistance is [M L² T⁻³ A⁻²].
    • This can be derived from Ohm's law: R = V/I
    • Where V is voltage and I is current.

    Energy density (u) in terms of electric and magnetic fields

    • The energy density in terms of electric and magnetic fields is given by u = (1/2)ε₀E² + (1/2)(1/μ₀)B²
    • Where ε₀ is the permittivity of free space, E is the electric field strength, B is the magnetic field strength, and μ₀ is the permeability of free space.

    Heat Capacity

    • The dimensional formula of heat capacity is [M L² T⁻² θ⁻¹]
    • Where M is mass, L is length, T is time, and θ is temperature.
    • The heat capacity of a substance is the amount of heat energy required to raise the temperature of a given mass of the substance by one degree Celsius (or one Kelvin).

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    Description

    Test your knowledge about free education initiatives and programs with this quiz. Explore the efforts being made to provide education to all, regardless of financial barriers, with a focus on the APUL project.

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