33 Years NEET-AIPMT Chapterwise Solutions - Physics 2020
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Electromagnetic WavesTelegram @unacademyplusdiscounts7111. The electric field associated with an em wave invacuum is given by[E = i^40 cos (kz – 6 × 10 8 t)]; where E, z and t are involt/m, meter and seconds respectively. The value ofwave vector k is(a) 2 m –1 (b) 0.5 m –1(c) 6 m –1 (d) 3 m –1 (2012)12. The ratio of amplitude of magnetic field to theamplitude of electric field for an electromagneticwave propagating in vacuum is equal to(a) the speed of light in vacuum(b) reciprocal of speed of light in vacuum(c) the ratio of magnetic permeability to the electricsusceptibility of vacuum(d) unity. (Mains 2012)13. The electric and the magnetic field, associated withan e.m. wave, propagating along the +z-axis, can berepresented by (a) ⎡ ^ ^⎤⎡ E= E i B=B j⎣⎢ 0 , 0(b) E= E k ^ ^⎤B=B i⎦⎥ ⎣⎢ 0 , 0 ⎦⎥⎡ ^ ^⎤⎡ (c) E= E j B=B i⎣⎢ 0 , 0 (d) E= E ^ ^⎤j B=B k⎦⎥ ⎣⎢ 0 , 0 ⎦⎥ (2011)14. Which of the following statement is false for theproperties of electromagnetic waves ?(a) Both electric and magnetic field vectors attainthe maxima and minima at the same place andsame time.(b) The energy in electromagnetic wave is dividedequally between electric and magnetic vectors.(c) Both electric and magnetic field vectors areparallel to each other and perpendicular to thedirection of propagation of wave.(d) These waves do not require any materialmedium for propagation (2010)15. The electric field of an electromagnetic wave in freespace is given by E = 10cos( 10 7 t + kx)jˆ V/m , wheret and x are in seconds and metres respectively. It canbe inferred that(1) the wavelength l is 188.4 m.(2) the wave number k is 0.33 rad/m.(3) the wave amplitude is 10 V/m.(4) the wave is propagating along +x direction.Which one of the following pairs of statements iscorrect?(a) (3) and (4) (b) (1) and (2)(c) (2) and (3) (d) (1) and (3)(Mains 2010)16. The electric field part of an electromagnetic wave ina medium is represented by E x = 0;Ey = N ⎡⎛× ⎞25 ⎢t⎝⎜2 10 6 rad. cos π⎠⎟C ⎣ m⎛ − ⎞− ×⎝⎜π10 2 rad⎠⎟ x ⎤ s ⎦ ⎥ ;E z = 0. The wave is(a) moving along x direction with frequency 10 6 Hzand wavelength 100 m(b) moving along x direction with frequency 10 6 Hzand wavelength 200 m(c) moving along –x direction with frequency 10 6 Hzand wavelength 200 m(d) moving along y direction with frequency2p × 10 6 Hz and wavelength 200 m. (2009)17. The velocity of electromagnetic radiation in a mediumof permittivity e 0 and permeability m 0 is given by1µ(a)(b) 0εµε 0 0(c)ε0(d) µε 0 0(2008)µ 018. The electric and magnetic field of an electromagneticwave are(a) in opposite phase and perpendicular to each other(b) in opposite phase and parallel to each other(c) in phase and perpendicular to each other(d) in phase and parallel to each other. (2007, 1994)19. The velocity of electromagnetic wave is parallel to (a) B× E (b) E × B (c) E (d) B (2002)20. Wavelength of light of frequency 100 Hz is(a) 4 × 10 6 m (b) 3 × 10 6 m(c) 2 × 10 6 m (d) 5 × 10 –5 m (1999)21. If e 0 and m 0 are the electric permittivity and magneticpermeability in a free space, e and m are thecorresponding quantities in medium, the index ofrefraction of the medium is(a)(c)εµ 0 0 (b)εµεµ 0εµ 0(d)0εµεµ 0 0εε 0(1997)22. The frequency of electromagnetic wave, which bestsuited to observe a particle of radius 3 × 10 –4 cm isof the order of(a) 10 15 (b) 10 14(c) 10 13 (d) 10 12 (1991)8.4 Electromagnetic Spectrum23. The energy of the em waves is of the order of 15 keV.To which part of the spectrum does it belong?(a) Ultraviolet rays (b) g-rays(c) X-rays(d) Infra-red rays(2015)
Telegram @unacademyplusdiscounts72 NEET-AIPMT Chapterwise Topicwise Solutions Physics24. The condition under which a microwave oven heatsup a food item containing water molecules mostefficiently is(a) microwaves are heat waves, so always produceheating(b) infra-red waves produce heating in a microwaveoven(c) the frequency of the microwaves must matchthe resonant frequency of the water molecules(d) the frequency of the microwaves has no relationwith natural frequency of water molecules. (NEET 2013)25. The decreasing order of wavelength of infrared,microwave, ultraviolet and gamma rays is(a) microwave, infrared, ultraviolet, gamma rays(b) gamma rays, ultraviolet, infrared, microwaves(c) microwaves, gamma rays, infrared, ultraviolet(d) infrared, microwave, ultraviolet, gamma rays (2011)26. If l v , l x and l m represent the wavelengths of visiblelight, X-rays and microwaves respectively, then(a) l m > l x > l v (b) l m > l v > l x(c) l v > l x > l m (d) l v > l m > l x . (2005)27. We consider the radiation emitted by the humanbody. Which one of the following statements is true?(a) The radiation emitted is in the infrared region.(b) The radiation is emitted only during the day.(c) The radiation is emitted during the summersand absorbed during the winters.(d) The radiation emitted lies in the ultravioletregion and hence is not visible. (2003)28. Which of the following rays are not electromagneticwaves ?(a) X-rays(b) g-rays(c) b-rays (d) heat rays (2003)29. What is the cause of Green house effect?(a) Infra-red raysANSWER KEY(b) Ultra violet rays(c) X-rays(d) Radio waves (2002)30. Biological importance of ozone layer is(a) it stops ultraviolet rays(b) ozone layer reduces green house effect(c) ozone layer reflects radio waves(d) ozone layer controls O 2 /H 2 ratio in atmosphere. (2001)31. The frequency order for g-rays (B), X-rays (A),UVrays (C) is(a) B > A > C (b) A > B > C(c) C > B > A (d) A > C > B. (2000)32. Ozone layer blocks the radiations of wavelength(a) more than 3 × 10 –7 m(b) equal to 3 × 10 –7 m(c) less than 3 × 10 –7 m(d) all of these (1999)33. Which of the following electromagnetic radiationshave the smaller wavelength?(a) X-rays(b) g-rays(c) UV waves (d) microwaves (1994)34. A signal emitted by an antenna from a certain pointcan be received at another point of the surface in theform of(a) sky wave(c) sea wave(b) ground wave(d) both (a) and (b)(1993)35. The structure of solids is investigated by using(a) cosmic rays (b) X-rays(c) g-rays(d) infra-red radiations (1992)36. Which of the following electromagnetic radiationshave the longest wavelength ?(a) X-rays(b) g-rays(c) Microwaves (d) Radiowaves (1989)1. (c) 2. (a) 3. (c) 4. (b) 5. (a) 6. (b) 7. (a) 8. (b) 9. (b) 10. (b)11. (a) 12. (b) 13. (a) 14. (c) 15. (d) 16. (b) 17. (a) 18. (c) 19. (b) 20. (b)21. (b) 22. (b) 23. (c) 24. (c) 25. (a) 26. (b) 27. (a) 28. (c) 29. (a) 30. (a)31. (a) 32. (d) 33. (b) 34. (d) 35. (b) 36. (d)Hints & Explanations1. (c) : Here, C = 20 mFThe rate of change of potential = 3 V/sThe charge on the capacitor, Q = CVdQ\ I C dVdt= D = dt= 20 mF × 3V = 60 mAsDisplacement current is equal to the conduction current.
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Electromagnetic Waves
Telegram @unacademyplusdiscounts
71
11. The electric field associated with an em wave in
vacuum is given by
[E = i^40 cos (kz – 6 × 10 8 t)]; where E, z and t are in
volt/m, meter and seconds respectively. The value of
wave vector k is
(a) 2 m –1 (b) 0.5 m –1
(c) 6 m –1 (d) 3 m –1 (2012)
12. The ratio of amplitude of magnetic field to the
amplitude of electric field for an electromagnetic
wave propagating in vacuum is equal to
(a) the speed of light in vacuum
(b) reciprocal of speed of light in vacuum
(c) the ratio of magnetic permeability to the electric
susceptibility of vacuum
(d) unity. (Mains 2012)
13. The electric and the magnetic field, associated with
an e.m. wave, propagating along the +z-axis, can be
represented by
(a) ⎡ ^ ^⎤
⎡
E= E i B=
B j
⎣⎢ 0 , 0
(b) E= E k ^ ^⎤
B=
B i
⎦⎥ ⎣⎢ 0 , 0 ⎦⎥
⎡ ^ ^⎤
⎡
(c) E= E j B=
B i
⎣⎢ 0 , 0 (d) E= E ^ ^⎤
j B=
B k
⎦⎥ ⎣⎢ 0 , 0 ⎦⎥
(2011)
14. Which of the following statement is false for the
properties of electromagnetic waves ?
(a) Both electric and magnetic field vectors attain
the maxima and minima at the same place and
same time.
(b) The energy in electromagnetic wave is divided
equally between electric and magnetic vectors.
(c) Both electric and magnetic field vectors are
parallel to each other and perpendicular to the
direction of propagation of wave.
(d) These waves do not require any material
medium for propagation (2010)
15. The electric field of an electromagnetic wave in free
space is given by E = 10cos( 10 7 t + kx)
jˆ V/m , where
t and x are in seconds and metres respectively. It can
be inferred that
(1) the wavelength l is 188.4 m.
(2) the wave number k is 0.33 rad/m.
(3) the wave amplitude is 10 V/m.
(4) the wave is propagating along +x direction.
Which one of the following pairs of statements is
correct?
(a) (3) and (4) (b) (1) and (2)
(c) (2) and (3) (d) (1) and (3)
(Mains 2010)
16. The electric field part of an electromagnetic wave in
a medium is represented by E x = 0;
Ey = N ⎡⎛
× ⎞
25 ⎢
t
⎝
⎜2 10 6 rad
. cos π
⎠
⎟
C ⎣ m
⎛ − ⎞
− ×
⎝
⎜π
10 2 rad
⎠
⎟ x ⎤ s ⎦ ⎥ ;
E z = 0. The wave is
(a) moving along x direction with frequency 10 6 Hz
and wavelength 100 m
(b) moving along x direction with frequency 10 6 Hz
and wavelength 200 m
(c) moving along –x direction with frequency 10 6 Hz
and wavelength 200 m
(d) moving along y direction with frequency
2p × 10 6 Hz and wavelength 200 m. (2009)
17. The velocity of electromagnetic radiation in a medium
of permittivity e 0 and permeability m 0 is given by
1
µ
(a)
(b) 0
ε
µε 0 0
(c)
ε0
(d) µε 0 0
(2008)
µ 0
18. The electric and magnetic field of an electromagnetic
wave are
(a) in opposite phase and perpendicular to each other
(b) in opposite phase and parallel to each other
(c) in phase and perpendicular to each other
(d) in phase and parallel to each other. (2007, 1994)
19. The velocity of electromagnetic wave is parallel to
(a) B× E (b) E
× B
(c) E
(d) B (2002)
20. Wavelength of light of frequency 100 Hz is
(a) 4 × 10 6 m (b) 3 × 10 6 m
(c) 2 × 10 6 m (d) 5 × 10 –5 m (1999)
21. If e 0 and m 0 are the electric permittivity and magnetic
permeability in a free space, e and m are the
corresponding quantities in medium, the index of
refraction of the medium is
(a)
(c)
εµ 0 0 (b)
εµ
εµ 0
εµ 0
(d)
0
εµ
εµ 0 0
ε
ε 0
(1997)
22. The frequency of electromagnetic wave, which best
suited to observe a particle of radius 3 × 10 –4 cm is
of the order of
(a) 10 15 (b) 10 14
(c) 10 13 (d) 10 12 (1991)
8.4 Electromagnetic Spectrum
23. The energy of the em waves is of the order of 15 keV.
To which part of the spectrum does it belong?
(a) Ultraviolet rays (b) g-rays
(c) X-rays
(d) Infra-red rays(2015)