Electromagnetic Waves Test

Question 1
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The charge on a parallel plate capacitor is varying as $$q={ q }_{ 0 }\sin { \left( 2\pi nt \right) } $$. The plates are very large and close together. neglecting the edge effects, the displacement current through the capacitor is:

A
$$\cfrac { q }{ { \varepsilon }_{ 0 }A } $$

B
$$\cfrac { { q }_{ 0 } }{ { \varepsilon }_{ 0 } } \sin { 2\pi } nt$$

C
$$2\pi n{ q }_{ 0 }\cos { 2\pi } nt $$

D
$$\cfrac { 2\pi n{ q }_{ 0 } }{ { \varepsilon }_{ 0 } } \cos { 2\pi } nt $$

Question 2
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Directions For Questions

A plane electromagnetic wave frequency $$40MHz$$ travels in free space in the X-direction. At some point and at some distant, the electric field has its maximum value of $$750N/C$$ in Y-direction.

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The period of the wave will be

A
$$2.5\mu s$$

B
$$0.25\mu s$$

C
$$0.025\mu s$$

D
none of these

Question 3
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Directions For Questions

A parallel plate capacitor made of circular plates each of radius $$R=6\ cm$$ has capacitance $$C=100\ pF$$. The capacitor is connected to a $$230\ V$$ AC supply with an angular frequency of $$300\ rad/s$$.

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The $$rms$$ value of conduction current will be:

A
$$5.7\mu A$$

B
$$6.3\mu A$$

C
$$9.6\mu A$$

D
$$6.9\mu A$$

Question 4
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Maxwell's four equations are written as
(i) $$\oint { \overrightarrow { E } .\overrightarrow { d } s } =\cfrac { { q }_{ 0 } }{ { \varepsilon }_{ 0 } } \quad $$
(ii)$$\oint { \overrightarrow { B } .\overrightarrow { d } s } =0$$
(iii)$$\oint { \overrightarrow { E } .\overrightarrow { d } l } =\cfrac { d }{ dt } \quad \oint { \overrightarrow { B } .\overrightarrow { d } s } $$
(iv)$$\oint { \overrightarrow { B } .\overrightarrow { d } s } ={ \mu }_{ 0 }{ \varepsilon }_{ 0 }\cfrac { d }{ dt } \quad \oint { \overrightarrow { E } .\overrightarrow { d } s } $$
Which of the above Maxwell's equations shows that electric field lines do not form closed loops?

A
(i) only

B
(ii) only

C
(iii) only

D
(iv) only

Question 5
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Directions For Questions

A plane electromagnetic wave frequency $$40MHz$$ travels in free space in the X-direction. At some point and at some distant, the electric field has its maximum value of $$750N/C$$ in Y-direction.

...view full instructions

The wavelength of the wave is

A
$$3.5m$$

B
$$5.5m$$

C
$$7.5m$$

D
$$9.5m$$

Question 6
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Directions For Questions

A plane electromagnetic wave frequency $$40MHz$$ travels in free space in the X-direction. At some point and at some distant, the electric field has its maximum value of $$750N/C$$ in Y-direction.

...view full instructions

The angular frequency of emf wave will be (in rad/s)

A
$$8p\times { 10 }^{ 7 }$$

B
$$4p\times { 10 }^{ 6 }$$

C
$$2p\times { 10 }^{ 5 }$$

D
$$\pi \times { 10 }^{ 4 }$$

Question 7
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Maxwell's four equations are written as
(i) $$\oint { \overrightarrow { E } .\overrightarrow { d } s } =\cfrac { { q }_{ 0 } }{ { \varepsilon }_{ 0 } } \quad $$
(ii)$$\oint { \overrightarrow { B } .\overrightarrow { d } s } =0$$
(iii)$$\oint { \overrightarrow { E } .\overrightarrow { d } l } =\cfrac { d }{ dt } \quad \oint { \overrightarrow { B } .\overrightarrow { d } s } $$
(iv)$$\oint { \overrightarrow { B } .\overrightarrow { d } s } ={ \mu }_{ 0 }{ \varepsilon }_{ 0 }\cfrac { d }{ dt } \quad \oint { \overrightarrow { E } .\overrightarrow { d } s } $$
Out of the four Maxwell's equation above, which one shows the non-existence of monopoles?

A
(i) and (iv)

B
(ii) only

C
(iii) only

D
none of these

Question 8
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The Sun delivers $${{10}^{3}}W/{{m}^{2}}$$ of electromagnetic flux to the Earth's surface. The radiation force on the roof of dimensions $$8m\times 20m$$ will be:

A
$$3.33\times { 10 }^{ -5 }N$$

B
$$5.33\times { 10 }^{ -4 }N$$

C
$$7.33\times { 10 }^{ -3 }N$$

D
$$9.33\times { 10 }^{ -2 }N$$

Question 9
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Directions For Questions

A plane electromagnetic wave frequency $$40MHz$$ travels in free space in the X-direction. At some point and at some distant, the electric field has its maximum value of $$750N/C$$ in Y-direction.

...view full instructions

The propagation constant of the wave will be

A
$$8.38{{m}^{-1}}$$

B
$$0.838{{m}^{-1}}$$

C
$$4.19{{m}^{-1}}$$

D
$$0.419{{m}^{-1}}$$

Question 10
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An electromagnetic wave, going through vacuum is described by $$E=E_0\sin{(kx-\omega t)}$$. Which of the following is independent of wavelength?

A
$$k$$

B
$$\omega$$

C
$$\displaystyle\dfrac{k}{\omega}$$

D
$$k\omega$$

Submit Test

Electromagnetic...

Question 1

$$\cfrac { q }{ { \varepsilon }_{ 0 }A } $$

$$\cfrac { { q }_{ 0 } }{ { \varepsilon }_{ 0 } } \sin { 2\pi } nt$$

$$2\pi n{ q }_{ 0 }\cos { 2\pi } nt $$

$$\cfrac { 2\pi n{ q }_{ 0 } }{ { \varepsilon }_{ 0 } } \cos { 2\pi } nt $$

Question 2

$$2.5\mu s$$

$$0.25\mu s$$

$$0.025\mu s$$

none of these

Question 3

$$5.7\mu A$$

$$6.3\mu A$$

$$9.6\mu A$$

$$6.9\mu A$$

Question 4

(i) only

(ii) only

(iii) only

(iv) only

Question 5

$$3.5m$$

$$5.5m$$

$$7.5m$$

$$9.5m$$

Question 6

$$8p\times { 10 }^{ 7 }$$

$$4p\times { 10 }^{ 6 }$$

$$2p\times { 10 }^{ 5 }$$

$$\pi \times { 10 }^{ 4 }$$

Question 7

(i) and (iv)

(ii) only

(iii) only

none of these

Question 8

$$3.33\times { 10 }^{ -5 }N$$

$$5.33\times { 10 }^{ -4 }N$$

$$7.33\times { 10 }^{ -3 }N$$

$$9.33\times { 10 }^{ -2 }N$$

Question 9

$$8.38{{m}^{-1}}$$

$$0.838{{m}^{-1}}$$

$$4.19{{m}^{-1}}$$

$$0.419{{m}^{-1}}$$

Question 10

$$k$$

$$\omega$$

$$\displaystyle\dfrac{k}{\omega}$$

$$k\omega$$

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