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

At the interface between two linear dielectrics (with dielectric constants $${{\varepsilon _1}}$$ and $${{\varepsilon _2}}$$), the electric field lines bend, as shown in the figure. Assume that there are no free charges at the interface. The ratio $$\frac{{{\varepsilon _1}}}{{{\varepsilon _2}}}$$ is
Electromagnetic Theory mcq question image

Electromagnetic Theory mcq question image

A

$$\frac{{\tan {\theta _1}}}{{\tan {\theta _2}}}$$

B

$$\frac{{\cos {\theta _1}}}{{\cos {\theta _2}}}$$

C

$$\frac{{\sin {\theta _1}}}{{\sin {\theta _2}}}$$

D

$$\frac{{\cot {\theta _1}}}{{\cot {\theta _2}}}$$

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:

A

Cm = 1/εμ

B

Cm = 1/√8 μ

C

Cm = 5/√εμ

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

The circumferential and longitudinal strains in a cylindrical boiler under internal steam pressure are $${\varepsilon _{\text{c}}}$$ and $${\varepsilon _{\text{l}}}$$ respectively. The change in volume of the boiler cylinder per unit volume will be

A

$${\varepsilon _{\text{c}}} + 2{\varepsilon _{\text{l}}}$$

B

$$2{\varepsilon _{\text{c}}} + {\varepsilon _{\text{l}}}$$

C

$${\varepsilon _{\text{c}}} + \varepsilon _{\text{l}}^2$$

D

$$\varepsilon _{\text{c}}^2 + {\varepsilon _{\text{l}}}$$

The circumferential and longitudinal strains in a cylindrical boiler under internal steam pressure are $${\varepsilon _{\text{c}}}$$ and $${\varepsilon _l}$$ respectively. The change in volume of the boiler cylinder per unit volume will be

A

$${\varepsilon _{\text{c}}} + 2{\varepsilon _l}$$

B

$$2{\varepsilon _{\text{c}}} + {\varepsilon _l}$$

C

$${\varepsilon _{\text{c}}} + \varepsilon _l^2$$

D

$$\varepsilon _{\text{c}}^2 + {\varepsilon _l}$$

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

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

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:

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