1
JEE Main 2015 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
An electromagnetic wave travelling in the x-direction has frequency of 23 $$ \times $$ 1014 Hz and electric field amplitude of 27 Vm$$-$$1. From the options given below, which one describes the magnetic field for this wave ?
A
$$\overrightarrow B $$ (x, t) = (3 $$ \times $$ 10$$-$$8T) $$\widehat j$$

sin [ 2$$\pi $$ (1.5 $$ \times $$ 10$$-$$8x $$-$$ 2 $$ \times $$ 1014t)]
B
$$\overrightarrow B $$ (x, t) = (9 $$ \times $$ 10$$-$$8T) $$\widehat k$$

sin [ 2$$\pi $$ (1.5 $$ \times $$ 10$$-$$6x $$-$$ 2 $$ \times $$ 1014t)]
C
$$\overrightarrow B $$ (x, t) = (9 $$ \times $$ 10$$-$$8T) $$\widehat i$$

sin [ 2$$\pi $$ (1.5 $$ \times $$ 10$$-$$8x $$-$$ 2 $$ \times $$ 1014t)]
D
$$\overrightarrow B $$ (x, t) = (9 $$ \times $$ 10$$-$$8T) $$\widehat j$$

sin [(1.5 $$ \times $$ 10$$-$$6 x $$-$$ 2 $$ \times $$ 1014t)]
2
JEE Main 2015 (Online) 11th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
For plane electromagnetic waves propagating in the z direction, which one of the following combination gives the correct possible direction for $$\overrightarrow E $$ and $$\overrightarrow B $$ field respectively ?
A
$$\left( {\widehat i + 2\widehat j} \right)\,\,$$ and $$\left( {2\widehat i - \widehat j} \right)$$
B
$$\left(-\, {2\widehat i - 3\widehat j} \right)$$ and $$\left( {3\widehat i - 2\widehat j} \right)$$
C
$$\left( {2\widehat i + 3\widehat j} \right)$$ and $$\left( {\widehat i + 2\widehat j} \right)$$
D
$$\left( {3\widehat i + 4\widehat j} \right)$$ and $$\left( {4\widehat i - 3\widehat j} \right)$$
3
JEE Main 2024 (Online) 9th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

The magnetic field in a plane electromagnetic wave is $$\mathrm{B}_{\mathrm{y}}=\left(3.5 \times 10^{-7}\right) \sin \left(1.5 \times 10^3 x+0.5 \times 10^{11} t\right) \mathrm{T}$$. The corresponding electric field will be :

A
$$E_z=105 \sin \left(1.5 \times 10^3 x+0.5 \times 10^{11} t\right) \mathrm{Vm}^{-1}$$
B
$$E_y=10.5 \sin \left(1.5 \times 10^3 x+0.5 \times 10^{11} t\right) \mathrm{Vm}^{-1}$$
C
$$E_y=1.17 \sin \left(1.5 \times 10^3 x+0.5 \times 10^{11} t\right) \mathrm{Vm}^{-1}$$
D
$$E_z=1.17 \sin \left(1.5 \times 10^3 x+0.5 \times 10^{11} t\right) \mathrm{Vm}^{-1}$$
4
JEE Main 2024 (Online) 9th April Morning Shift
MCQ (Single Correct Answer)
+4
-1

A plane EM wave is propagating along $$x$$ direction. It has a wavelength of $$4 \mathrm{~mm}$$. If electric field is in $$y$$ direction with the maximum magnitude of $$60 \mathrm{~Vm}^{-1}$$, the equation for magnetic field is :

A
$$\mathrm{B}_z=2 \times 10^{-7} \sin \left[\frac{\pi}{2}\left(x-3 \times 10^8 \mathrm{t}\right)\right] \hat{\mathrm{k}} \mathrm{T}$$
B
$$\mathrm{B}_z=2 \times 10^{-7} \sin \left[\frac{\pi}{2} \times 10^3\left(x-3 \times 10^8 \mathrm{t}\right)\right] \hat{\mathrm{k}} \mathrm{T}$$
C
$$\mathrm{B}_z=60 \sin \left[\frac{\pi}{2}\left(x-3 \times 10^8 \mathrm{t}\right)\right] \hat{\mathrm{k}} \mathrm{T}$$
D
$$\mathrm{B}_x=60 \sin \left[\frac{\pi}{2}\left(x-3 \times 10^8 \mathrm{t}\right)\right] \hat{\mathrm{i}} \mathrm{T}$$
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