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

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

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A radiation of energy $E$ falls normally on a perfectly reflecting surface. The momentum transferred to the surface is :

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Important Questions on Dual Nature of Matter and Radiation

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Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

An electromagnetic wave of intensity

I

is incident on a non-reflecting surface. If

C

is the speed of light in free space, then the ratio

\frac{I}{C}

is same as

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Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

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:

HARD

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

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.)

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

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:

EASY

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

The radiation produced by a

100 W

bulb has the following property

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Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

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:

EASY

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

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

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

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?

EASY

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

Light with an energy flux of

120 W {cm}^{- 2}

falls on a normal reflecting surface at normal incidence. Find the average force exerted on the surface in

20 minutes

if the surface has an area of

2

square meter.

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

A light bulb of power

100 W

is placed at the centre of a hollow sphere of radius

10 cm .

If the

66 %

of the energy is converted into light, then the pressure exerted by the light on the surface of the sphere will be
(Assume the surface of sphere to be perfectly absorbing)

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

The energy associated with electric field is

(U_{E})

and with magnetic field is

(U_{B})

for an electromagnetic wave in free space. Then:

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

The mass of a hydrogen molecule is

3.32 \times 10^{- 27} kg .

10^{23}

hydrogen molecules strike, per second, a fixed wall of the area

2 {cm}^{2}

at an angle of

45^{o}

to the normal, and rebound elastically with a speed of

10^{3} m s^{- 1},

then the pressure on the wall is nearly:

EASY

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

The energy of the em waves is of the order of

15 keV

. To which part of the spectrum does it belong?

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

A radiation of energy

E

falls normally on a perfectly reflecting surface. The momentum transferred to the surface is (

C

= Velocity of light)

EASY

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

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

20 nT

. The peak value of electric field strength is :

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

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)

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

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?

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

Sun light falls normally on a surface of area

36 {cm}^{2}

and exerts an average force of

7.2 \times 10^{- 9} N

within a time period of

20

minutes. Considering a case of complete absorption, the energy flux of incident light is

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

Sunlight of intensity

50 W m^{- 2}

is incident normally on the surface of a solar panel. Some part of incident energy (

25 %

) is reflected from the surface and the rest is absorbed. The force exerted on

1 m^{2}

surface area will be close to

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

MEDIUM

Physics>Modern Physics>Dual Nature of Matter and Radiation>Radiation Pressure

Light with an energy flux of

25 \times 10^{4} {W m}^{- 2}

falls on a perfectly reflecting surface at normal incidence. If the surface area is

15 {c m}^{2},

the average force exerted on the surface is:

A radiation of energy E falls normally on a perfectly reflecting surface. The momentum transferred to the surface is :

Important Questions on Dual Nature of Matter and Radiation

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A radiation of energy $E$ falls normally on a perfectly reflecting surface. The momentum transferred to the surface is :