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Published on: 03/09/2019
Electromagnetic waves
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Questions + Answers key
Take MCQ Physics Test1.
What is meant by Fraunhofer lines?
2.
What are electromagnetic waves?
3.
What is displacement current?
4.
The relative magnetic permeability of the medium is 2.5 and the relative electrical permittivity of the medium is 2.25. Compute the refractive index of the medium.
5.
Discuss briefly the experiment conducted by Hertz to produce and detect electromagnetic spectrum.
6.
If the relative permeability and relative permittivity of a medium are 1.0 and 2.25 respectively, find the speed of the electromagnetic wave in this medium.
7.
A pulse of light of duration 10−6 s is absorbed completely by a small object initially at rest. If the power of the pulse is 60\(\times\) 10−3 W. Calculate the final momentum of the object.
8.
A magnetron in a microwave oven emits electromagnetic waves (em waves) with frequency f = 2450 MHz. What magnetic field strength is required for electrons to move in circular paths with this frequency?
9.
1.
When the spectrum obtained from the Sun is examined, it consists of large number of dark lines (line absorption spectrum). These dark lines in the solar spectrum are known as Fraunhofer lines.
2.
An electromagnetic waves are the waves that are radiated by an accelerated charge which propagates through space as coupled electric and magnetic fields, oscillating perpendicular to each other and to the direction of propagation of the wave.
3.
The displacement current can be defined as the current which comes into play in the region in which the electric field or the electric flux is changing with time.
4.
Dielectric constant (relative permittivity of the medium) is εr = 2.25
Magnetic permeability is μr = 2.5
Refractive index of the medium,
n = \(\sqrt { { \varepsilon }_{ r }{ \mu }_{ r } } =\sqrt { 2.25\times 2.5 } \) = 2.37
5.
i) Maxwell's prediction was experimentally confirmed by Heinrich Rudolf Hertz in 1888. The experimental set up used is shown in Figure.
ii) It consists of two metal electrodes which are made of small spherical metals. These are connected to larger spheres and the ends of them are connected to induction coil with very large number of turns. This is to produce very high electromotive force (emf).
iii) Since the coil is maintained at very high potential, air between the electrodes gets ionized and spark (spark means discharge of electricity) is produced.
iv) The gap between electrode (ring type - not completely closed and has a small gap in between) kept at a distance also gets spark. This implies that the energy is transmitted from electrode to the receiver (ring electrode) as a wave, known as electromagnetic waves.

v) If the receiver is rotated by 90° - then no spark is observed by the receiver. This confirms that electromagnetic waves are transverse waves as predicted by Maxwell.
vi) Hertz detected radio waves and also computed the speed of radio waves which is equal to the speed of light (3 x 108m S-1).
6.
μr = 1.0, εr = 2.25
Refractive index of the medium \(n= {\sqrt{\varepsilon_{r} \mu_{r}}} =\sqrt{1 \times2.25}=1.5\)
Speed of electromagnetic waves in this medium,
\(V_{m}=\frac{c}{n}=\frac{3 \times 10^{8}}{1.5}\)
Vm = 2 x 108 m/s
7.
Power of the pulse P = 60 x 10-3 W
Time internal t = 10-6 S
Energy U = Power x time
U = p x t
= 60 x 10-3 x 10-6
U = 60 x 10-9 J
Lineral momentum, \(\mathrm{P}=\frac{\text { Energy }}{\text { speed }}=\frac{U}{C} \ \)
\(\mathrm{P}=\frac{60 \times 10^{-9}}{3 \times 10^{8}} \)
P = 20 x 10-17 kg ms-1
8.
Frequency of the electromagnetic waves given, f = 2450 MHz
The corresponding angular frequency is
ω = 2πf = 2 x 3.14 x 2450 x 106
= 15,386 x 106 Hz
= 1.54 x 1010 s-1
The required magnetic field, B = \(\frac { { m }_{ e }\omega }{ |q| } \)
Mass of the electron, me = 9.11 x 10-31 kg
Charge of the electron,
q = -1.60 x 10-19C
⇒ |q| = 1.60 x 10-19 C
B = \(\frac { (9.11\times { 10 }^{ -31 })(1.54\times 10^{ 10 }) }{ (1.60\times 10^{ -19 }) } \) = 8.7683 x 10-2T
B = 0.08768 T
This magnetic field can be easily produced with a permanent magnet. So, electromagnetic waves of frequency 2450 MHz can be used for heating and cooking food because they are strongly absorbed by water molecules.
9.
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