Assume a bulb of efficiency \(2.5\%\) as a point source. The peak values of the electric field and magnetic field produced by the radiation coming from a \(100~\text{W}\) bulb at a distance of \(3~\text{m}\) are respectively:

1. \( 2.5 ~\text{V/m}, ~2.2 \times 10^{-8} ~\text{T} \)
2. \( 3.6 ~\text{V/m}, ~ 3.6 ~\text{T} \)
3. \( 4.07~\text{V/m},~ 1.4 \times 10^{-8} ~\text{T}\)
4. \( 4.2 ~\text{V/m}, ~3.4 \times 10^{-6}~\text{T}\)
Subtopic:  Properties of EM Waves |
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The magnetic field in a plane electromagnetic wave is given by \({B}=\left(2 \times 10^{-7}\right)\sin \left(0.5 \times 10^3 {x}+1.5 \times 10^{11} {t}\right )~\text{T}\). The wavelength and frequency of the wave are respectively:
1. \( 2.16~\text{cm}, 24.1~\text{GHz} \) 2. \( 0.29~\text{cm}, 13.7~\text{GHz} \)
3. \( 3.23 ~\text{cm}, 20.0~\text{GHz} \) 4. \( 1.26~\text{cm}, 23.9~\text{GHz}\)
Subtopic:  Properties of EM Waves |
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The electric field of an electromagnetic wave is given by \(\overrightarrow E = E_0 \hat j \cos (\omega t - kx)+ E_0\hat i \sin (\omega t -kx)\).
The maximum value of the electric field in the wave is:
1. \(\dfrac {E_0} {\sqrt 2}\)
2. \(E_0\)
3. \(\sqrt 2 E_0\)
4. \(\sqrt 3 E_0\)
Subtopic:  Properties of EM Waves |
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When light propagates through a material medium of relative permittivity, \(\varepsilon_{r}\) and relative permeability, \(\mu_{r}\) the velocity of light, \(v\) is given by:
(\(c\) = velocity of light in vacuum)
1. \(v=\dfrac{{c}}{\sqrt{\varepsilon_{r} \mu_{{r}}}}\)
2. \(v={c}\)
3. \(v=\sqrt{\dfrac{\mu_{{r}}}{\varepsilon_{{r}}}}\)
4. \(v=\sqrt{\dfrac{\varepsilon_{{r}}}{\mu_{{r}}}}\)
Subtopic:  Properties of EM Waves |
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When an electromagnetic wave of frequency \(f_0\) undergoes refraction at the interface of two transparent (non-absorbing) media, the frequency of the transmitted wave is \(f_t.\) Then:
1. \(f_t=f_0\)
2. \(f_t>f_0\)
3. \(f_t<f_0\)
4. \(f_t\neq f_0\)
Subtopic:  Properties of EM Waves |
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A plane electromagnetic waveform given by:    \(\overrightarrow E_1=E_0\hat j\sin(\omega t-kx)\)
propagates along the \(x\)-axis. A second waveform given by:    \(\overrightarrow E_2=E_0\hat k\sin(\omega t-kx)\)
is also allowed to propagate. The magnetic field has the amplitude: (Assume speed of light in vacuum is \(c\))
1. \(\frac{E_0}{c}\)
2. \(\frac{E_0}{2c}\)
3. \(\frac{\sqrt2E_0}{c}\)
4. zero
Subtopic:  Properties of EM Waves |
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A plane electromagnetic wave is given by its electric field:    \(\overrightarrow E=\overrightarrow {E_0}~cos\frac{\omega}{c}(ct-\beta x)\)
where \(\omega\) and \(\beta\) are constants, \(t\) is the time and \(x\) represents the x-coordinate. \(c\) is the speed of the light in vacuum.
The value of \(\beta,\)
1. cannot be less than 1.
2. equals 1, always.
3. cannot be greater than 1.
4. can be any non-zero value.
Subtopic:  Properties of EM Waves |
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An electromagnetic waveform given by \(\vec{E}=E_{0} \hat{j} \sin \omega t\cos k x\) is set up in a certain region of space, where \(\vec E\)represents the electric field. The magnetic field associated with this waveform oscillates along the direction of:
1. \(\hat i\)
2. \(\hat j\)
3. \(\hat k \)
4. 
\(\hat j + \hat k\)
Subtopic:  Properties of EM Waves |
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The maximum electric field of a plane electromagnetic wave travelling through a vacuum is \(300~\text{V/m}\). The maximum magnetic field of this wave is: 
1. \(300~\text{T}\) 2. \(10^{-6}~\text{T}\)
3. \(9 \times 10^{10}~\text{T}\) 4. \(300\sqrt {2}~\text{T}\)
Subtopic:  Properties of EM Waves |
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The average electric field associated with the plane electromagnetic wave \(\overrightarrow E = E_0 \hat {i} \sin (wt - kz)\) is:
1. \(E_0 \hat i\)
2. \(\dfrac {E_0} { \sqrt 2}\) \(\hat i \)
3. \(\sqrt 2E_0 \hat i\)
4. zero (null)
Subtopic:  Properties of EM Waves |
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