Match List-I (Electromagnetic wave type) with List-II (Its association/application) and select the correct option from the choices given below the list:

List-I   List-II
(a) Infrared waves  (i) To treat muscular strain
(b) Radio waves  (ii) For broadcasting
(c) X-rays        (iii) To detect fractures of bones
(d) Ultraviolet rays  (iv) Absorbed by the ozone layer of the atmosphere
Options: (a) (b) (c) (d)
1. (i) (ii) (iv) (iii)
2. (iii) (ii) (i) (iv)
3. (i) (ii) (iii) (iv)
4. (iv) (iii) (ii) (ii)
Subtopic:  Electromagnetic Spectrum |
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During the propagation of electromagnetic waves in a medium:

1. Electric energy density is half of the magnetic energy density
2. Electric energy density is equal to the magnetic energy density
3. Both electric and magnetic energy densities are zero
4. Electric energy density is double of the magnetic energy density
Subtopic:  Properties of EM Waves |
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A red LED emits light at \(0.1\) watt uniformly around it. The amplitude of the electric field of the light at a distance of \(1~\text{m}\) from the diode is:
1. \(1.73~\text{V/m}\)
2. \(2.45~\text{V/m}\)
3. \(5.48~\text{V/m}\)
4. \(7.75~\text{V/m}\)

Subtopic:  Properties of EM Waves |
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An electromagnetic wave traveling in the \(x\text-\)direction has the frequency of \(2\times 10^{14}~\text{Hz}\) and electric field amplitude of \(27~\text{Vm}^{-1}.\) From the options given below, which one describes the magnetic field for this wave?
 
1. \(\begin{aligned} & \vec{B}(x, t)=\left(9 \times 10^{-8}~\text T\right) \hat{j} \sin \left[1.5 \times 10^{-6} x-2 \times 10^{14} t\right] \end{aligned}\)
2. \(\begin{aligned} & \vec{B}(x, t)=\left(9 \times 10^{-8}~\text{T}\right) \hat{i} \sin \left[2 \pi\left(1.5 \times 10^{-8} x-2 \times 10^{14} t\right)\right] \end{aligned}\)
3. \(\begin{aligned} & \vec{B}(x, t)=\left(9 \times 10^{-8}~\text{T}\right) \hat{{k}} \sin \left[2 \pi\left(1.5 \times 10^{-6}{x}-2 \times 10^{14}{t}\right)\right] \end{aligned}\)
4.  \(\begin{aligned} & \vec{B}(x, t)=\left(3 \times 10^{-8}~\text{T}\right) \hat{j} \sin \left[2 \pi\left(1.5 \times 10^{-8} x-2 \times 10^{14} t\right)\right] \end{aligned}\)
 
Subtopic:  Properties of EM Waves |
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For plane electromagnetic waves propagating in the \(z\) direction, which one of the following combinations gives the correct possible direction for \({\vec{E}}\) and \({\vec{B}}\)  field respectively?
1. \({(2 \hat{i}+3 \hat{j})}\) and \({(\hat{i}+2 \hat{j})}\)
2. \({(-2 \hat{i}-3 \hat{j})}\) and \({(3\hat{i}-2 \hat{j})}\)
3. \({(3 \hat{i}+4 \hat{j})}\) and \({(4\hat{i}-3 \hat{j})}\)
4. \({(\hat{i}+2 \hat{j})}\) and \({(2\hat{i}-\hat{j})}\)
Subtopic:  Properties of EM Waves |
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Arrange the following electromagnetic radiations per quantum in the order of increasing energy:

A : Blue light   
B : Yellow light
C : X-ray 
D : Radiowave
 
1. D, B, A, C
2. A, B, D, C
3. C, A, B, D
4. B, A, D, C

Subtopic:  Electromagnetic Spectrum |
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The magnetic field in a plane electromagnetic wave is given by \(\vec B=B_0\sin(K x+\omega t)\hat j~\text T.\) The expression for the corresponding electric field will be:
(where \(c\) is the speed of light)
1. \(\vec E=\frac{B_0}{c}\sin (kx+\omega t)\hat k~\text{V/m}\)
2. \(\vec E=-B_0c\sin (kx+\omega t)\hat k~\text{V/m}\)
3. \(\vec E=B_0c\sin (kx+\omega t)\hat k~\text{V/m}\)
4. \(\vec E=B_0c\sin (kx+\omega t)\hat k~\text{V/m}\)
Subtopic:  Properties of EM Waves |
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The electric field component of a monochromatic radiation is given by \(\vec E=2~E_0\hat i\cos{kz}\cos\Omega t.\) 
Its magnetic field \(\vec B\) is given by:
1. \(\dfrac{2~E_0}{c}~\hat j\cos kz\cos \omega t\)
2. \(\dfrac{2~E_0}{c}~\hat j\sin kz\cos \omega t\)
3. \(\dfrac{2~E_0}{c}~\hat j\sin kz\sin \omega t\)
4. \(-\dfrac{2~E_0}{c}~\hat j\sin kz \sin \omega t\)
Subtopic:  Properties of EM Waves |
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An EM wave from air enters a medium. The electric fields are \(\overrightarrow{{E}}_1={E}_{01} \hat{{x}} \cos \left[2 \pi {\nu}\left(\frac{{z}}{{c}}-{t}\right)\right] \) in air and \(\overrightarrow{{E}}_2={E}_{02} \hat{{x}} \cos {k}(2 {z}-{ct})]\) in medium, where the wave number \(k\) and frequency \(\nu\) refer to their values in air. The medium is non-magnetic. If \(\epsilon_{r_1}\) and \(\epsilon_{r_2}\) refer to relative permittivities of air and medium respectively, which of the following options is correct?
1. \( \frac{\epsilon_{r_1}}{\epsilon_{r_2}}=4 \)
2. \( \frac{\epsilon_{r_1}}{\epsilon_{r_2}}=2 \)
3. \( \frac{\epsilon_{r_1}}{\epsilon_{r_2}}=\frac{1}{4} \)
4. \( \frac{\epsilon_{r_1}}{\epsilon_{r_2}}=\frac{1}{2}\)

Subtopic:  Properties of EM Waves |
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A monochromatic beam of light has a frequency \(v=\frac{3}{2\pi}\times10 ^{12}~\text{Hz}\) and is propagating along the direction \(\frac{i+j}{\sqrt{2}}\) It is polarized along the \(\hat{k}\) direction. The acceptable form of the magnetic field is:
1. \(\frac{E_0}{C}\bigg(\frac{\hat{i}-\hat{j}}{\sqrt2}\bigg) \cos\bigg[ 10^4 \frac{(\hat{i}-\hat{j})}{\sqrt2}.\overrightarrow{r} - (3 \times10 ^{12})t \bigg]\)
2. \(\frac{E_0}{C}\hat{k}\cos\bigg[ 10^4 \frac{(\hat{i}+\hat{j})}{\sqrt2}.\overrightarrow{r} +(3 \times10 ^{12})t \bigg]\)
3. \(\frac{E_0}{C}\bigg(\frac{\hat{i}-\hat{j}}{\sqrt2}\bigg)\cos\bigg[ 10^4 \frac{(\hat{i}+\hat{j})}{\sqrt2}.\overrightarrow{r} + (3 \times10 ^{12})t \bigg]\)
4. \(\frac{E_0}{C}\bigg(\frac{\hat{i}+\hat{j}+\hat{k}}{\sqrt3}\bigg)\cos\bigg[ 10^4 \frac{(\hat{i}+\hat{j})}{\sqrt2}.\overrightarrow{r} + (3 \times10 ^{12})t \bigg]\)
Subtopic:  Properties of EM Waves |
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