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

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A light of intensity $12 W m^{- 2}$ incidents on a black surface of area $4 {cm}^{2}$ . The radiation pressure on 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

The sound waves after converting into the electric waves are not directly transmitted because:

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)

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

What do you understand by the statement, “Electromagnetic waves transport momentum”?

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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

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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

A point source of light emits isotropically with a power of $200 W$ . The light is incident normally on a perfectly reflecting circular surface of radius $2 cm$ at a distance of $20 m$ from the source. The force exerted by light on the surface is

Speed of light $c = 3 \times 10^{8} m s^{- 1}$

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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:

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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?

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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.

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

The electric field in a plane electromagnetic wave is given by

\vec{E} = 200 \cos [(0.5 \times 10^{3} m^{- 1}) x - (1.5 \times 10^{11} rad s^{- 1}) t] V m^{- 1} \hat{j}

.
If this wave falls normally on a perfectly reflecting surface having an area of

100 {cm}^{2}

. If the radiation pressure exerted by the E.M. wave on the surface during a

10 \min

exposure is

\frac{k}{10^{9}} N m^{- 2}

. Find the value of

k

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

A beam of light with intensity

10^{- 3} N m^{- 2}

and cross sectional area

20 {cm}^{2}

is incident on a fully reflective surface at angle

45 °

. Then the force exerted by the beam on the surface is

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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:

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

A beam of white light is incident normally on a plane surface absorbing

70 %

of the light and reflecting the rest. If the incident beam carries

10 W

of power, the force exerted by it on the surface is

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

A laser pointer has an output power of

1 mW

and emits light of wavelength

660 nm

. if the beam from the pointer is incident normally on a perfectly reflecting mirror, the force exerted by the light beam on the mirror will be approximately,

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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:

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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:

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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.)

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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)

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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})

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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

A light of intensity 12 W m-2 incidents on a black surface of area 4 cm2. The radiation pressure on the surface is

Important Questions on Dual Nature of Matter and Radiation

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A light of intensity $12 W m^{- 2}$ incidents on a black surface of area $4 {cm}^{2}$ . The radiation pressure on the surface is