Electromagnetic Waves

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Question
CBSEENPH12039902

The condition under which a microwave oven heats up a food item containing water molecules most efficiently is

  • the frequency of the microwave must match the resonant frequency of the water molecules

  • the frequency of the microwave has no relation  with natural frequency of water molecules

  • microwave are heat waves, so always produce heating 

  • infrared waves produce heating in a microwave oven 

Solution

A.

the frequency of the microwave must match the resonant frequency of the water molecules

It is an electromagnetic wave, therefore the correct choice is (a).

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Question
CBSEENPH12039937

The decreasing order of wavelength of infrared, microwave, ultraviolet and gamma rays is

  • gamma rays, ultraviolet, infrared, microwaves

  • microwaves, gamma rays, infrared, ultraviolet

  • infrared, microwave, ultraviolet, gamma rays.

  • microwave infrared, ultraviolet, gamma rays

Solution

D.

microwave infrared, ultraviolet, gamma rays

Decreasing order of the wavelength of various rays.
Microwave > infrared > Ultraviolet > Gamma

Question
CBSEENPH11020952

The electric and magnetic field of an electromagnetic wave are:

  • in phase and parallel to each other

  • in opposite phase and perpendicular to each other

  • in opposite phase and parallel to each other

  • in phase and perpendicular to each other

Solution

D.

in phase and perpendicular to each other

Electromagnetic waves are those waves in which there are a sinusoidal variation of electric and magnetic field vectors at right angles to each other as well as right angles to the direction of wave propagation.
The sinusoidal variation in both electric and magnetic field vectors (open parentheses straight E with rightwards arrow on top space and space straight B with rightwards arrow on top close parentheses occurs, simultaneously. As a result, they attain the maxima and minima at the same place and at the same time. The amplitudes of the electric and magnetic fields in free spaces are related by

In the figure, electric field vector andbold E with bold rightwards arrow on top magnetic field vector (straight B with rightwards arrow on top) are vibrating along Y and Z directions and propagation of the electromagnetic wave is shown in X -direction.
Hence, electric and magnetic fields are in phase and perpendicular to each other.

Question
CBSEENPH12039853

The electric field associated with an electromagnetic wave in vacuum is given by E=i 40 cos (kz-6x108t), where E, z= and t are in volt/m, metre and second respectively. The value of wave vector k is

  • 2 m-1

  • 0.5 m-1

  • 6 m-1

  • 3 m-1

Solution

A.

2 m-1

Electromagnetic wave equation 
straight E space equals space straight E subscript straight o space cos space left parenthesis kz minus ωt right parenthesis
Speed space of space electromagnetic space wave space straight v space equals space straight omega over straight k
space Given space equation
straight E space equals space straight i 40 space cos space left parenthesis kz minus 6 space straight x space 10 to the power of 8 space straight t right parenthesis
comparing space Eqs. space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space we space get
straight omega space equals space 6 space straight x space 10 to the power of 8
and
straight E subscript straight o space equals 40 space straight i
here comma space wave space factor space straight k space equals space straight omega over straight v space equals space fraction numerator 6 space straight x space 10 to the power of 8 over denominator 3 straight x space 10 to the power of 8 end fraction space equals space 2 space straight m to the power of negative 1 end exponent

Question
CBSEENPH12039945

The energy of the EM waves is of the order of 15 keV. To which part of the spectrum does it belong?

  • X - rays

  • infrared rays

  • Ultraviolet rays

  • gamma -rays

Solution

A.

X - rays

 Given, energy of EM waves is of the order of 15 keV
straight E space equals space hc over straight lambda

rightwards double arrow space straight E space equals space fraction numerator 6.626 space straight x space 10 to the power of negative 34 end exponent space straight x space 3 space straight x space 10 to the power of 18 space over denominator 15 space straight x space 10 cubed space straight x space 1.6 space straight x space 10 to the power of 19 end fraction

equals space fraction numerator 1.3248 space space straight x space 10 to the power of negative 29 end exponent over denominator 1.6 space straight x space 10 to the power of negative 19 end exponent end fraction space equals space 0.828 space straight x space 10 to the power of negative 10 end exponent space straight m

equals space 0.828 stack space straight A with straight o on top


thus, this spectrum is a part of X -rays

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