An incident light beam of power \(P\) falls on a flat surface, at an angle of incidence of \(60^{\circ}.\) \(50\%\) of the beam is absorbed and the remaining reflected. The force exerted on the surface is:
1. \(\dfrac{P}{c}\) 2. \(\dfrac{P}{2c}\)
3. \(\dfrac{\sqrt3P}{c}\) 4. \(\dfrac{\sqrt3P}{2c}\)

Subtopic:  Properties of EM Waves |
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In a plane polarised electromagnetic wave of wavelength \(\lambda,\) the electric field at a certain point \(P\) has the value \(\vec E_P(t).\)  At a different point \(Q,\) the electric field is \(\vec E_Q(t).\) If \(\vec E_{P}\) and \(\vec E_{Q}\) are in phase with each other, then the component of \(\overrightarrow {PQ}\) along the direction of propagation equals:
1. Zero
2. \(\lambda\)
3.  \(n\lambda,\) where \(n\) is an integer
4. \(2n\lambda,\) where \(n\) is an integer
Subtopic:  Properties of EM Waves |
 53%
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A plane electromagnetic waveform given by:    \(\vec {E}_1=E_0\hat j\sin(\omega t-kx)\)
propagates along the \(x\)-axis. A second waveform given by:    \(\vec {E}_2=E_0\hat k\sin(\omega t-kx)\)
is also allowed to propagate. The magnetic field has the amplitude: (Assume speed of light in vacuum is \(c\))
 
1. \(\dfrac{E_0}{c}\) 2. \(\dfrac{E_0}{2c}\)
3. \(\dfrac{\sqrt2E_0}{c}\) 4. Zero
Subtopic:  Properties of EM Waves |
 65%
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The region on the left of the \(y\)-axis \((x<0)\) represents vacuum, and the region on the right \((x>0)\) represents a transparent medium. An electromagnetic wave travelling along the \(x\)-axis given by:   
\(\vec E_1(x,t)=E_1\hat j~\sin(\omega t-k_0x),\) where \(x<0,\)

is incident on to the medium on the right. The transmitted wave in the medium is:   
\(\vec E_2(x,t)=E_2\hat j~\sin(\omega t-2k_0x),\) where \(x>0.\)

The refractive index of the medium is:
1. \(2\) 2. \(\sqrt2\)
3. \(4\) 4. \(2\sqrt2\)
Subtopic:  Properties of EM Waves |
 67%
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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 |
 77%
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Given below are two statements: 
Statement I: Electromagnetic waves are radiated when a charged particle undergoes SHM.
Statement II: Electromagnetic waves propagate energy in the direction of the electric field of the wave.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Generation of EM Waves |
 61%
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Given below are two statements: 
Statement I: Electromagnetic waves propagate through all media with a speed \(c=\dfrac{1}{\sqrt{\varepsilon_0\mu_0}}.\)
Statement II: Electromagnetic waves can undergo reflection and refraction.
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Properties of EM Waves |
 54%
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The speed of electromagnetic waves is:
1. higher in vacuum compared to other media.
2. lower in vacuum compared to other media.
3. independent of the medium.
4. lower in some media than in vacuum, and higher in others.
Subtopic:  Properties of EM Waves |
 67%
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Which of the following situation(s), can cause the radiation of an electromagnetic wave?
(A) a varying sinusoidal current flowing through a capacitor
(B) an electric dipole, whose size (and magnitude) is oscillating with time
(C) a steady current flowing through a toroid

Choose the correct options:  
1. only (A)
2. only (B)
3. only (A) & (B)
4. (A), (B), (C)
Subtopic:  Generation of EM Waves |
 66%
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A plane electromagnetic wavefront is incident at an angle of \(30^{\circ}\) onto a flat surface. The difference between the arrival times of the wave at the points \(A\) and \(B\) is \(T,\) where \(AB=L.\) Then, the speed of the wavefront in the medium is:
1. \(\dfrac{L}{T}\) 2. \(\dfrac{2L}{T}\)
3. \(\dfrac{L}{2T}\) 4. \(\dfrac{\sqrt3L}{T}\)
Subtopic:  Properties of EM Waves |
 62%
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