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


(...

An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative electric permittivity 2.25 from vacuum. The wavelength of this wave in that medium will be _________ \(\times\) 10\(-\)2 cm.

Intensity of sunlight is observed as 0.092 Wm\(-\)2 at a point in free space. What will be the peak value of magnetic field at the point?(\({\varepsilon _0} = 8.85 \times {10^{ - 12}}{C^2}{N^{ - 1}}{m^{ - 2}}\))

In an electromagnetic wave the electric field vector and magnetic field vector are given as \(\overrightarrow E = {E_0}\widehat i\) and \(\overrightarrow B = {B_0}\widehat k\) respectively. The direction of propagation of electromagnetic ...

Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by E = 20cos(2 \(\times\) 1010 t \(-\) 200x) V/m. The dielectric constant of the medium is equal to : (Take \(\mu\)r = 1)

A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x-direction. At a particular point in space and time, \(\overrightarrow B = 2.0 \times {10^{ - 8}}\widehat kT\). (where, \(\widehat k\) is unit vector alon...

A plane electromagnetic wave propagating along y-direction can have the following pair of electric field \(\left( {\overrightarrow E } \right)\) and magnetic field \(\left( {\overrightarrow B } \right)\) components.

If 2.5 \(\times\) 10\(-\)6 N average force is exerted by a light wave on a non-reflecting surface of 30 cm2 area during 40 minutes of time span, the energy flux of light just before it falls on the surface is ___________ W/cm2. (Round off t...

The electric field intensity produced by the radiation coming from a 100 W bulb at a distance of 3 m is E. The electric field intensity produced by the radiation coming from 60W at the same distance is \(\sqrt {{x \over 5}}\)E. Where the v...

Seawater at a frequency f = 9 \(\times\) 102 Hz, has permittivity \(\varepsilon\) = 80\(\varepsilon\)0 and resistivity \(\rho\) = 0.25 \(\Omega\)m. Imagine a parallel plate capacitor is immersed in seawater and is driven by an alternating...

A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in space and time, \(\overrightarrow B\) = 8.0 \(\times\) 10\(-\)8 \(\widehat z\)T. The value of electric field at this poin...

For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric (Ue) and magnetic (Um) fields is :

The electric fields of two plane electromagnetic
plane waves in vacuum are given by
\(\overrightarrow {{E_1}} = {E_0}\widehat j\cos \left( {\omega t - kx} \right)\)
and
$$\overrightarrow {{E_2}} = {E_0}\widehat k\cos \left( {\omega t - ky...

A plane electromagnetic wave is propagating
along the direction
\({{\widehat i + \widehat j} \over {\sqrt 2 }}\)
, with its polarization
along the direction \(\widehat k\) . The correct form of the
magnetic field of the wave would be (here ...

A plane electromagnetic wave of frequency
25 GHz is propagating in vacuum along the
z-direction. At a particular point in space and
time, the magnetic field is given by \(\overrightarrow B = 5 \times {10^{ - 8}}\widehat jT\). The correspon...

If the magnetic field in a plane electromagnetic wave is given by
\(\overrightarrow B\) = 3 \(\times\) 10-8 sin(1.6 \(\times\) 103x + 48 \(\times\) 1010t)\(\widehat j\) T, then what will be expression for electric field ?

The electric field of a plane electromagnetic wave is given by
\(\overrightarrow E = {E_0}{{\widehat i + \widehat j} \over {\sqrt 2 }}\cos \left( {kz + \omega t} \right)\)
At t = 0, a positively charged particle is at the point (x, y, z) =...

Suppose that intensity of a laser is \({{315} \over \pi }\) W/m2. The rms electric field, in units of V/m associated
with this source is close to the nearest integer is __________.
\(\in\)0 = 8.86 × 10–12 C2 Nm–2; c = 3 × 108 ms–1)

For a plane electromagnetic wave, the magnetic field at a point x and time t is
\(\overrightarrow B \left( {x,t} \right)\) = $$\left[ {1.2 \times {{10}^{ - 7}}\sin \left( {0.5 \times {{10}^3}x + 1.5 \times {{10}^{11}}t} \right)\widehat k} \...

An electron is constrained to move along
the y-axis with a speed of 0.1 c (c is the
speed of light) in the presence of
electromagnetic wave, whose electric
field is
$$\overrightarrow E = 30\widehat j\sin \left( {1.5 \times {{10}^7}t - 5 \t...

The correct match between the entries in
column I and column II are :

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Choose the correct option relating wave lengths of different parts of electromagnetic wave spectrum:

The electric field of a plane electromagnetic wave is given by
\(\overrightarrow E = {E_0}\left( {\widehat x + \widehat y} \right)\sin \left( {kz - \omega t} \right)\)
Its magnetic field will be given by :

The magnetic field of a plane electromagnetic wave is
\(\overrightarrow B = 3 \times {10^{ - 8}}\sin \left[ {200\pi \left( {y + ct} \right)} \right]\widehat i\) T
where c = 3 \(\times\) 108
ms–1 is the speed of light.
The corresponding ...

The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is
\(\overrightarrow E = {E_0}\widehat j\cos \left( {\omega t - kx} \right)\).
The magnetic field \(\overrightarrow B\)
, at the moment t = 0 ...

A plane electromagnetic wave, has frequency
of 2.0 \(\times\) 1010 Hz and its energy density is
1.02 \(\times\) 10–8 J/m3 in vacuum. The amplitude of
the magnetic field of the wave is close
to
( $${1 \over {4\pi {\varepsilon _0}}} = 9 \...

In a plane electromagnetic wave, the directions
of electric field and magnetic field are
represented by \(\widehat k\) and \(2\widehat i - 2\widehat j\), respectively.
What is the unit vector along direction of
propagation of the wave?

A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular point in space and time, \(\overrightarrow E = 6.3\widehat j\,V/m.\) The corresponding magnetic field $$\overrightarrow...

The energy associated with electric field is (UE) and with magnetic field is (UB) for an electromagnetic wave in free space. Then :

The magnetic field of a plane electromagnetic
wave is given by :
\($\overline B = {B_0}\widehat i\left[ {\cos (kz - \omega t)} \right] + {B_i}\widehat j\cos (kz + \omega t)\)$
B0 = 3 × 10–5 T and B1 = 2 × 10–6 T.
The rms
value of the force...

50 W/m2 energy density of sunlight is normally
incident 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 1m2 surface area will be close to
(c = ...

A plane electromagnetic wave travels in free
space along the x-direction. The electric field
component of the wave at a particular point of
space and time is E = 6 V m–1 along y-direction.
Its corresponding magnetic field component,
B would...

The magnetic field of an electromagnetic wave
is given by :-
$$\mathop B\limits^ \to = 1.6 \times {10^{ - 6}}\cos \left( {2 \times {{10}^7}z + 6 \times {{10}^{15}}t} \right)\left( {2\mathop i\limits^ \wedge + \mathop j\limits^ \wedge }...

A light wave is incident normally on a glass slab of refractive index 1.5. If 4 % of light gets reflected and the amplitude of the electric field of the incident light is 30 V/m, then the amplitude of the electric field for the wave propaga...

The mean intensity of radiation on the surface of the Sun is about 108 W/m2 . The rms value of the corresponding magnetic field is closet to :

An electromagnetic wave is represented by the electric field \(\overrightarrow E = {E_0}\widehat n\sin \left[ {\omega t + \left( {6y - 8z} \right)} \right]\)
. Taking unit
vectors in x, y and z directions to be $$\widehat i,\widehat j,\wid...

A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in
free space. The peak value of the Electric Field is 60 V/m. Which among the following is the acceptable
magnetic field component in th...

An electromagnetic wave of intensity 50 Wm–2 enters in a medium of refractive index 'n' without any loss. The ratio of the magnitudes of electric, and the ratio of the magnitudes of magnetic fields of the wave before and after entering into...

A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude of the maximum electric field in this electromagnetic wave is given by :
[Given permittivity of space \(\in\)0 = 9 \(\times\) 10–12 SI units, Speed of light c = 3 $$...

If the magnetic field of a plane electromagnetic wave is given by (the speed of light = 3 × 108 B = 100 × 10–6
sin \(\left[ {2\pi \times 2 \times {{10}^{15}}\left( {t - {x \over c}} \right)} \right]\) then the maximum electric field assoc...

The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by an expression \(\overrightarrow E \left( {x,y} \right) = 10\widehat j\cos \left[ {\left( {6x + 8z} \right)} \right].\) The magnetic field $...

The electric field of a plane electromagnetic
wave is given by
\(\overrightarrow E = {E_0}\widehat i\cos (kz)cos(\omega t)\) The corresponding magnetic field \(\overrightarrow B\) is then given by

Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm–2. If the surface
has an area of 25 cm2, the momentum transferred to the surface in 40 min time duration will be :

A plane electromagnetic wave of wavelength \(\lambda\) has an intensity I. It is propagatting along the positive Y-direction. The allowed expressions for the electric and magnetic fields are givn by :

A monochromatic beam of light has a frequency \(v = {3 \over {2\pi }} \times {10^{12}}Hz\) and is propagating along the direction \({{\widehat i + \widehat j} \over {\sqrt 2 }}.\)
It is polarized along the \(\widehat k\) direction. The acc...

A plane polarized monochromatic EM wave is traveling in vacuum along z direction such that at t = t1 it is found that the electric field is zero at a spatial point z1. The next zero that occurs in its neighbourhood is at z2. The frequency o...

An EM wave from air enters a medium. The electric fields are
\(\overrightarrow {{E_1}}\) = \({E_{01}}\widehat x\cos \left[ {2\pi v\left( {{z \over c} - t} \right)} \right]\) in air and
\(\overrightarrow {{E_2}}\) = $${E_{02}}\widehat x\...

The electric field component of a monochromatic radiation is given by
\(\overrightarrow E\) = 2 E0 \(\widehat i\) cos kz cos \(\omega\)t
Its magnetic field \(\overrightarrow B\) is then given by :

Magnetic field in a plane electromagnetic wave is given by
\(\overrightarrow B\) = B0 sin (k x + \(\omega\)t) \(\widehat j\,T\)
Expression for corresponding electric field will be :
Where c is speed of light.

Microwave oven acts on the principle of :