Q. Consider the following statements :

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Q. The apparent capacitance at a high angular frequency ω of an air cored capacitor having capacitance C and inductance L is given by

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Q. Consider the following statements:

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Q. Assertion (A): In Figure, the intercept of the line on y-axis is equal to N (ae + ai), where N is number of atoms/m³, ae is electronic polarizability and ai is ionic polarizability.

Reason (R): ae and ai are independent of temperature.

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Q. Consider the following statements:

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Q. For a polyatomic gas, the equation relating dielectric constant ∈ᵣ with molecular properties is

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Q. The dielectric constant of ferroelectric materials can be expressed by the equation

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Q. If m, v, r are the mass, velocity and radius of orbit of electron and h is Planck's constant, quantum condition for electron's orbit is

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Q. A material has N spins per m³. If Np are the dipoles per m³ parallel to field and Na are the dipoles per m³ anti-parallel to field, the magnetisation is

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Q. An electron is moving in a circular orbit of radius R at angular velocity ω₀ in a field free space. If a magnetic field B is created, the velocity of electron ω will be given by the equation

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Q. From a homogeneous and isotropic dielectric material of dielectric constant ∈r, a small volume element is taken out creating a cavity. The field can be kept homogeneous if Di. (i.e., electric flux density inside the cavity) and D0 (i.e., electric flux density outside the cavity) are such that

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Q. Figure shows a composite capacitor. If CA, CB, CC are the capacitances of capacitors A, B, C, the overall capacitance C is

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Q. Consider the following statements:

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Q. A parallel plate capacitor has area of plate A and plate separation d. Its capacitance is C. A metallic plate P of area A and negligible thickness is added as shown in Figure. The new value of capacitance is

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Q. If a metal specimen has n valence electrons per m³ each having charge e and mass m and t is the relaxations time, the conductivity is

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Q. As per Matthiessen's rule, the total resistivity r of a conductor can be written as ρ = ρi + aT, where ρi and a are constants and T is absolute temperature. At very low temperatures

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Q. An electron in a metal suffers collision and if the probability of it being scattered over an angle dθ is 2π P(θ) sin θ dθ where P(θ) is an arbitrary function of scattering angle θ, then

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Q. If v is velocity of electron, ε0 is absolute permittivity, m is mass of electron, e is charge on electron and r is the radius of orbit of electron in hydrogen atom, the stability of orbit requires the following equation to be satisfied

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Q. A parallel plate capacitor has area of plate equal to 1 m and distance between plates is also 1 m². The lossy dielectric has a complex dielectric constant ∈r = ∈'r - j ∈"r. If the capacitor is represented by R and C is parallel, then

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Q. The v-i characteristic shown in the given figure is for

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