If electric permittivity and magnetic permeability of the medium are respectively ‘ε’ and ‘μ’, then the velocity (Cm) of the electromagnetic wave in the medium is given by:

If electric permittivity and magnetic permeability of the medium are respectively $$\varepsilon $$ and $$\mu $$, then the velocity (C_m) of the electromagnetic wave in the medium is given by:

A

$${{\text{C}}_{\text{m}}} = \frac{1}{{\varepsilon \mu }}$$

B

$${{\text{C}}_{\text{m}}} = \frac{1}{{\sqrt 8 \mu }}$$

C

$${{\text{C}}_{\text{m}}} = \frac{5}{{\sqrt \varepsilon \mu }}$$

D

None of these

What is the absolute permittivity of a dielectric medium where ϵ0 is the permittivity of free space and ϵ1 is the relative permittivity of the medium?

A

ϵ₀/ϵ₁

B

ϵ₀ ϵ₁

C

ϵ₁ / ϵ₀

D

None of these

Find the Brewster angle of a wave transmitted from a medium of permittivity 4 to a medium of permittivity 2.

A

35.26

B

53.62

C

26.35

D

62.53

A force $\vec F$, acting on a electric charge q, in presence of electro-magnetic field, moves the charge parallel to the magnetic field with velocity $\vec v$. Then $\vec F$ is equal to (where $\vec E$and $\vec B$ are electric field and magnetic field respectively)

A

$q\vec E$

B

$q\left( {\vec v \times \vec B} \right)$

C

$q\left( {\vec v \times \vec E} \right)$

D

$q\vec B$

There are two medium L1 and L2 of refractive index n1 and n2 respectively (n2 > n1 > 1). In which of the following condition the total internal reflection may occur: a) When the light travel from medium L1 to medium L2. b) When the light travels from medium L2 to medium L1. c) When the light travel from medium L1 to air. d) When the light travels from air to medium L2. Which of the following statement is correct?

A

Only b is correct

B

b and c are correct.

C

Only c is correct

D

a and d are correct.

Two magnetic dipoles of magnitude m each are placed in a plane as shown below. The energy of interaction is given by
Electromagnetic Theory mcq question image

Electromagnetic Theory mcq question image

A

zero

B

$$\frac{{{\mu _0}}}{{4\pi }} \cdot \frac{{{m^2}}}{{{d^3}}}$$

C

$$\frac{{3{\mu _0}}}{{2\pi }} \cdot \frac{{{m^2}}}{{{d^3}}}$$

D

$$ - \frac{{3{\mu _0}}}{{8\pi }} \cdot \frac{{{m^2}}}{{{d^3}}}$$

Wave impedance of a wave travelling in a medium of a relative permittivity 2 and permeability 4 is

A

188.5 Ω

B

200 Ω

C

300 Ω

D

None of the mentioned

Consider a conducting loop of radius a and total loop resistance R placed in a region with a magnetic field B thereby enclosing a flux $${\phi _0}$$ . The loop is connected to an electronic circuit as shown, the capacitor being initially uncharged.
Electromagnetic Theory mcq question image

If the loop is pulled out of the region of the magnetic field at a constant speed u, the final output voltage V_out is independent of

A

$${\phi _0}$$

B

u

C

R

D

C

A circular arc QTS is kept in an external magnetic field $${\overrightarrow {\bf{B}} _0}$$ as shown in figure. The arc carries a current $$l$$. The magnetic field is directed normal and into the page. The force acting on the arc is
Electromagnetic Theory mcq question image

A

$$2l{B_0}R{\bf{\hat k}}$$

B

$$l{B_0}R{\bf{\hat k}}$$

C

$$ - 2l{B_0}R{\bf{\hat k}}$$

D

$$ - l{B_0}R{\bf{\hat k}}$$

In a certain material medium, a propagating electromagnetic wave attains 60% of the velocity of light. The distance at which the electromagnetic wave (f = 10 MHz) will have the same magnitude for the induction, as well as the radiation fields, is nearly

A

57.4m

B

29.0 m

C

5.8 m

D

2.9 m

If electric permittivity and magnetic permeability of the medium are respectively ‘ε’ and ‘μ’, then the velocity (Cm) of the electromagnetic wave in the medium is given by:

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