1
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
The electric field of an electromagnetic wave in free space is given by $$\overrightarrow E = 10\cos ({10^7}t + kx)\widehat j\,\,V/m,$$ where t and x are in seconds and metres respectively. It can be inferred that
(1)  the wavelength $$\lambda $$ 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)
2
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
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.
3
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
The electric field part of an electromagnetic wave in a medium is represented by Ex = 0;

$${E_y} = 2.5{N \over C}\cos \left[ {\left( {2\pi \times {{10}^6}{{rad} \over m}} \right)t - \left( {\pi \times {{10}^{ - 2}}{{rad} \over s}} \right)x} \right];$$

Ez = 0.
A
moving along x direction with frequency 106 Hz and wavelength 100 m.
B
moving along x direction with frequency 106 Hz and wavelength 200 m.
C
moving along $$-$$x direction with frequency 106 Hz and wavelength 200 m.
D
moving along y direction with frequency $$2\pi \times {10^6}\,Hz$$ and wavelength 200 m.
4
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
The velocity of electromagnetic radiation in a medium of permittivity $$\varepsilon $$0 and permeability $$\mu $$0 is given by
A
$${1 \over {\sqrt {{\mu _0}{\varepsilon _0}} }}$$
B
$$\sqrt {{{{\mu _0}} \over {{\varepsilon _0}}}} $$
C
$$\sqrt {{{{\varepsilon _0}} \over {{\mu _0}}}} $$
D
$$\sqrt {{\mu _0}{\varepsilon _0}} $$
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