The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by the expression E → x , y = 10 j ^ c o s 6 x + 8 z . The magnetic field B → x , z , t is given by ( c is the velocity of light.)

1 c 6 k ^ - 8 i ^ c o s 6 x + 8 z - 10 c t

1 c 6 k ^ - 8 i ^ cos 6 x + 8 z + 10 c t

1 c 6 k ^ + 8 i ^ cos 6 x + 8 z - 10 c t

1 c 6 k ^ + 8 i ^ cos 6 x - 8 z + 10 c t

A monochromatic beam of light has a frequency v = 3 2 π × 10 12 Hz and is propagating along the direction i ^ + j ^ 2 . It is polarized along the k ^ direction. The acceptance form the magnetic field is:

E 0 C i ^ - j ^ 2 Cos ⁡ 10 4 i ^ + j ^ 2 . r → + 3 × 10 12 t

E 0 C i ^ + j ^ 2 Cos ⁡ 10 4 i ^ + j ^ 2 . r → - 3 × 10 12 t

E 0 C k ^ Cos ⁡ 10 4 i ^ + j ^ 2 . r → + 3 × 10 12 t

E 0 C i ^ + j ^ + k ^ 3 Cos ⁡ 10 4 i ^ + j ^ 2 . r → + 3 × 10 12 t

Match List - I with List - II. List-I List-II (a) Source of microwave frequency (i) Radioactive decay of nucleus (b) Source of infrared frequency (ii) Magnetron (c) Source of Gamma Rays (iii) Inner shell electrons (d) Source of X -rays (iv) Vibration of atoms and molecules (v) LASER (vi) RC circuit Choose the correct answer from the options given below:

(a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)

(a)-(ii), (b)-(iv), (c)-(vi), (d)-(iii)

(a)-(vi), (b)-(iv), (c)-(i), (d)-(v)

(a)-(vi), (b)-(v), (c)-(i), (d)-(iv)

Magnetic field in a plane electromagnetic wave is given by, B → = B 0 sin k x + ω t j ^ T . Expression for corresponding electric field will be: (Where c is speed of light)

E → = B 0 c sin k x + ω t k ^ V m - 1

E → = - B 0 c sin k x + ω t k ^ V m - 1

E → = B 0 c sin k x - ω t k ^ V m - 1

E → = B 0 c sin k x + ω t k ^ V m - 1

Match List - I with List - II. List-I List-II (a) Source of microwave frequency (i) Radioactive decay of nucleus (b) Source of infrared frequency (ii) Magnetron (c) Source of Gamma Rays (iii) Inner shell electrons (d) Source of X -rays (iv) Vibration of atoms and molecules (v) LASER (vi) RC circuit Choose the correct answer from the options given below:

(a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)

(a)-(ii), (b)-(iv), (c)-(vi), (d)-(iii)

(a)-(vi), (b)-(iv), (c)-(i), (d)-(v)

(a)-(vi), (b)-(v), (c)-(i), (d)-(iv)

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Important Questions on Electromagnetic Waves

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

The electric field of a plane polarized electromagnetic wave in free space at time

t = 0

is given by the expression

\vec{E} (x, y) = 10 \hat{j} c o s (6 x + 8 z)

. The magnetic field

\vec{B} (x, z, t)

is given by (

c

is the velocity of light.)

HARD

Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

A monochromatic beam of light has a frequency

v = \frac{3}{2 π} \times 10^{12}

Hz

and is propagating along the direction

\frac{\hat{i} + \hat{j}}{\sqrt{2}}

. It is polarized along the

\hat{k}

direction. The acceptance form the magnetic field is:

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

A red $L E D$ emits light at $0.1 watt$ uniformly around it. The amplitude of the electric field of the light at a distance of $1 m$ from the diode is:

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

The mean intensity of radiation on the surface of the Sun is about

10^{8} W m^{- 2} .

The RMS value of the corresponding magnetic field is closest to:

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

Equation for wave vector is:

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

The energy associated with electric field is

(U_{E})

and with magnetic field is

(U_{B})

for an electromagnetic wave in free space. Then:

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

A plane electromagnetic wave of frequency

50 M H z

travels in free space along the positive

x

- direction. At a particular point in space and time,

\vec{E} = 6.3 \hat{j} V / m,

The corresponding magnetic field

\vec{B}

, at that point will be:

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

A radio transmitter sends out

60 W

of radiation. Assuming that the radiation is uniform on a sphere with the transmitter at its centre, the intensity

(i n W / m^{2})

of the wave at a distance

12 k m

EASY

Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

Out of the following options which one can be used to produce a propagating electromagnetic wave?

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

Match List - I with List - II.

List-I		List-II
(a)	Source of microwave frequency	(i)	Radioactive decay of nucleus
(b)	Source of infrared frequency	(ii)	Magnetron
(c)	Source of Gamma Rays	(iii)	Inner shell electrons
(d)	Source of $X$ -rays	(iv)	Vibration of atoms and molecules
		(v)	LASER
		(vi)	RC circuit

Choose the correct answer from the options given below:

EASY

Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

The magnetic field in a travelling electromagnetic wave has a peak value of

20 nT

. The peak value of electric field strength is :

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

The source of electromagnetic wave can be a charge.

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

An electromagnetic wave travelling in the

x -

direction has frequency of

2 \times 10^{14} H z

and electric field amplitude of

27 V m^{- 1}

oscillates in

Y -

direction. From the options given below, which one describes the magnetic field for this wave?

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

If the magnetic field of a plane electromagnetic wave is given by (The speed of light

= 3 \times 10^{8} m s^{- 1}

)

B = 100 \times 10^{- 6} \sin [2 π \times 2 \times 10^{15} (t - \frac{x}{c})]

then the maximum electric field associated with it is:

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

For plane electromagnetic waves propagating in the

+ z

-direction, which one of the following combinations gives the correct possible direction for

\vec{E}

and

\vec{B}

field respectively?

HARD

Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

The electric field component of a monochromatic radiation is given by

\vec{E} = 2 E_{0} \cos k z \cos ω t \hat{i}

, Its magnetic field

\vec{B}

is then given by:

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

Magnetic field in a plane electromagnetic wave is given by,

\vec{B} = B_{0} \sin (k x + ω t) \hat{j} T

. Expression for corresponding electric field will be:

(Where

c

is speed of light)

EASY

Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

An EM wave is propagating in a medium with a velocity

\vec{V} = V \hat{i}

. The instantaneous oscillating electric field of this em wave is along

+ y

axis. Then the direction of oscillating magnetic field of the EM wave will be along

EASY

Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

Long distance short- wave radio broadcasting uses

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Physics>Modern Physics>Electromagnetic Waves>Sources of Electromagnetic Waves

Match List - I with List - II.

List-I		List-II
(a)	Source of microwave frequency	(i)	Radioactive decay of nucleus
(b)	Source of infrared frequency	(ii)	Magnetron
(c)	Source of Gamma Rays	(iii)	Inner shell electrons
(d)	Source of $X$ -rays	(iv)	Vibration of atoms and molecules
		(v)	LASER
		(vi)	RC circuit

Choose the correct answer from the options given below:

Electromagnetic waves can be produced by

Important Questions on Electromagnetic Waves

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