01. Poynting vector, Energy transported by EM wave, Energy density
Electromagnetic Wave

155592 The energy of an electromagnetic wave contained in a small volume oscillates with

1 zero frequency
2 half the frequency of the wave
3 double the frequency of the wave
4 the frequency of the wave
Electromagnetic Wave

155594 The electric field in an electromagnetic wave is given as $\overrightarrow{\mathbf{E}}=20 \sin \omega\left(\mathbf{t}-\frac{\mathrm{x}}{\mathrm{c}}\right) \overrightarrow{\mathrm{j} N \mathrm{NC}^{-1}}$
Where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in volume of $5 \times 10^{-4} \mathrm{~m}^{3}$ will be (Given $\varepsilon_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} / \mathrm{Nm}^{2}$ )

1 $28.5 \times 10^{-13} \mathrm{~J}$
2 $17.7 \times 10^{-13} \mathrm{~J}$
3 $8.85 \times 10^{-13} \mathrm{~J}$
4 $88.5 \times 10^{-13} \mathrm{~J}$
Electromagnetic Wave

155596 Given below are two statements:
Statement I : Electromagnetic waves are not deflected by electric and magnetic field.
Statement II : The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as $E_{0}=\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}} B_{0}$
In the light of the above statements, choose the correct answer from the options given below

1 Statement I is true but statement II is false
2 Statement I is false but statement II is true
3 Both statement I and statement II are false
4 Both statement I and statement II are true
Electromagnetic Wave

155597 The equation that represents magnetic field of a plane electromagnetic wave which is propagating along $x$-direction with wavelength $10 \mathrm{~mm}$ and maximum electric field $60 \mathrm{~V} \mathrm{~m}^{-1}$ in y-direction is (c - speed of light)

1 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
2 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
3 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
4 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
Electromagnetic Wave

155598 In a plane electromagnetic wave, $U_{E}$ and $U_{B}$ are average energy densities of electric field and magnetic field respectively, then the correct option in the following is

1 $\mathrm{U}_{\mathrm{E}}=\frac{\mathrm{U}_{\mathrm{B}}}{2}$
2 $U_{\mathrm{E}}=2 \mathrm{U}_{\mathrm{B}}$
3 $\mathrm{U}_{\mathrm{E}}=\mathrm{U}_{\mathrm{B}}$
4 $\mathrm{U}_{\mathrm{E}} \neq \mathrm{U}_{\mathrm{B}}$
Electromagnetic Wave

155592 The energy of an electromagnetic wave contained in a small volume oscillates with

1 zero frequency
2 half the frequency of the wave
3 double the frequency of the wave
4 the frequency of the wave
Electromagnetic Wave

155594 The electric field in an electromagnetic wave is given as $\overrightarrow{\mathbf{E}}=20 \sin \omega\left(\mathbf{t}-\frac{\mathrm{x}}{\mathrm{c}}\right) \overrightarrow{\mathrm{j} N \mathrm{NC}^{-1}}$
Where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in volume of $5 \times 10^{-4} \mathrm{~m}^{3}$ will be (Given $\varepsilon_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} / \mathrm{Nm}^{2}$ )

1 $28.5 \times 10^{-13} \mathrm{~J}$
2 $17.7 \times 10^{-13} \mathrm{~J}$
3 $8.85 \times 10^{-13} \mathrm{~J}$
4 $88.5 \times 10^{-13} \mathrm{~J}$
Electromagnetic Wave

155596 Given below are two statements:
Statement I : Electromagnetic waves are not deflected by electric and magnetic field.
Statement II : The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as $E_{0}=\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}} B_{0}$
In the light of the above statements, choose the correct answer from the options given below

1 Statement I is true but statement II is false
2 Statement I is false but statement II is true
3 Both statement I and statement II are false
4 Both statement I and statement II are true
Electromagnetic Wave

155597 The equation that represents magnetic field of a plane electromagnetic wave which is propagating along $x$-direction with wavelength $10 \mathrm{~mm}$ and maximum electric field $60 \mathrm{~V} \mathrm{~m}^{-1}$ in y-direction is (c - speed of light)

1 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
2 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
3 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
4 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
Electromagnetic Wave

155598 In a plane electromagnetic wave, $U_{E}$ and $U_{B}$ are average energy densities of electric field and magnetic field respectively, then the correct option in the following is

1 $\mathrm{U}_{\mathrm{E}}=\frac{\mathrm{U}_{\mathrm{B}}}{2}$
2 $U_{\mathrm{E}}=2 \mathrm{U}_{\mathrm{B}}$
3 $\mathrm{U}_{\mathrm{E}}=\mathrm{U}_{\mathrm{B}}$
4 $\mathrm{U}_{\mathrm{E}} \neq \mathrm{U}_{\mathrm{B}}$
Electromagnetic Wave

155592 The energy of an electromagnetic wave contained in a small volume oscillates with

1 zero frequency
2 half the frequency of the wave
3 double the frequency of the wave
4 the frequency of the wave
Electromagnetic Wave

155594 The electric field in an electromagnetic wave is given as $\overrightarrow{\mathbf{E}}=20 \sin \omega\left(\mathbf{t}-\frac{\mathrm{x}}{\mathrm{c}}\right) \overrightarrow{\mathrm{j} N \mathrm{NC}^{-1}}$
Where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in volume of $5 \times 10^{-4} \mathrm{~m}^{3}$ will be (Given $\varepsilon_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} / \mathrm{Nm}^{2}$ )

1 $28.5 \times 10^{-13} \mathrm{~J}$
2 $17.7 \times 10^{-13} \mathrm{~J}$
3 $8.85 \times 10^{-13} \mathrm{~J}$
4 $88.5 \times 10^{-13} \mathrm{~J}$
Electromagnetic Wave

155596 Given below are two statements:
Statement I : Electromagnetic waves are not deflected by electric and magnetic field.
Statement II : The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as $E_{0}=\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}} B_{0}$
In the light of the above statements, choose the correct answer from the options given below

1 Statement I is true but statement II is false
2 Statement I is false but statement II is true
3 Both statement I and statement II are false
4 Both statement I and statement II are true
Electromagnetic Wave

155597 The equation that represents magnetic field of a plane electromagnetic wave which is propagating along $x$-direction with wavelength $10 \mathrm{~mm}$ and maximum electric field $60 \mathrm{~V} \mathrm{~m}^{-1}$ in y-direction is (c - speed of light)

1 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
2 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
3 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
4 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
Electromagnetic Wave

155598 In a plane electromagnetic wave, $U_{E}$ and $U_{B}$ are average energy densities of electric field and magnetic field respectively, then the correct option in the following is

1 $\mathrm{U}_{\mathrm{E}}=\frac{\mathrm{U}_{\mathrm{B}}}{2}$
2 $U_{\mathrm{E}}=2 \mathrm{U}_{\mathrm{B}}$
3 $\mathrm{U}_{\mathrm{E}}=\mathrm{U}_{\mathrm{B}}$
4 $\mathrm{U}_{\mathrm{E}} \neq \mathrm{U}_{\mathrm{B}}$
Electromagnetic Wave

155592 The energy of an electromagnetic wave contained in a small volume oscillates with

1 zero frequency
2 half the frequency of the wave
3 double the frequency of the wave
4 the frequency of the wave
Electromagnetic Wave

155594 The electric field in an electromagnetic wave is given as $\overrightarrow{\mathbf{E}}=20 \sin \omega\left(\mathbf{t}-\frac{\mathrm{x}}{\mathrm{c}}\right) \overrightarrow{\mathrm{j} N \mathrm{NC}^{-1}}$
Where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in volume of $5 \times 10^{-4} \mathrm{~m}^{3}$ will be (Given $\varepsilon_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} / \mathrm{Nm}^{2}$ )

1 $28.5 \times 10^{-13} \mathrm{~J}$
2 $17.7 \times 10^{-13} \mathrm{~J}$
3 $8.85 \times 10^{-13} \mathrm{~J}$
4 $88.5 \times 10^{-13} \mathrm{~J}$
Electromagnetic Wave

155596 Given below are two statements:
Statement I : Electromagnetic waves are not deflected by electric and magnetic field.
Statement II : The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as $E_{0}=\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}} B_{0}$
In the light of the above statements, choose the correct answer from the options given below

1 Statement I is true but statement II is false
2 Statement I is false but statement II is true
3 Both statement I and statement II are false
4 Both statement I and statement II are true
Electromagnetic Wave

155597 The equation that represents magnetic field of a plane electromagnetic wave which is propagating along $x$-direction with wavelength $10 \mathrm{~mm}$ and maximum electric field $60 \mathrm{~V} \mathrm{~m}^{-1}$ in y-direction is (c - speed of light)

1 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
2 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
3 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
4 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
Electromagnetic Wave

155598 In a plane electromagnetic wave, $U_{E}$ and $U_{B}$ are average energy densities of electric field and magnetic field respectively, then the correct option in the following is

1 $\mathrm{U}_{\mathrm{E}}=\frac{\mathrm{U}_{\mathrm{B}}}{2}$
2 $U_{\mathrm{E}}=2 \mathrm{U}_{\mathrm{B}}$
3 $\mathrm{U}_{\mathrm{E}}=\mathrm{U}_{\mathrm{B}}$
4 $\mathrm{U}_{\mathrm{E}} \neq \mathrm{U}_{\mathrm{B}}$
Electromagnetic Wave

155592 The energy of an electromagnetic wave contained in a small volume oscillates with

1 zero frequency
2 half the frequency of the wave
3 double the frequency of the wave
4 the frequency of the wave
Electromagnetic Wave

155594 The electric field in an electromagnetic wave is given as $\overrightarrow{\mathbf{E}}=20 \sin \omega\left(\mathbf{t}-\frac{\mathrm{x}}{\mathrm{c}}\right) \overrightarrow{\mathrm{j} N \mathrm{NC}^{-1}}$
Where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in volume of $5 \times 10^{-4} \mathrm{~m}^{3}$ will be (Given $\varepsilon_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} / \mathrm{Nm}^{2}$ )

1 $28.5 \times 10^{-13} \mathrm{~J}$
2 $17.7 \times 10^{-13} \mathrm{~J}$
3 $8.85 \times 10^{-13} \mathrm{~J}$
4 $88.5 \times 10^{-13} \mathrm{~J}$
Electromagnetic Wave

155596 Given below are two statements:
Statement I : Electromagnetic waves are not deflected by electric and magnetic field.
Statement II : The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as $E_{0}=\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}} B_{0}$
In the light of the above statements, choose the correct answer from the options given below

1 Statement I is true but statement II is false
2 Statement I is false but statement II is true
3 Both statement I and statement II are false
4 Both statement I and statement II are true
Electromagnetic Wave

155597 The equation that represents magnetic field of a plane electromagnetic wave which is propagating along $x$-direction with wavelength $10 \mathrm{~mm}$ and maximum electric field $60 \mathrm{~V} \mathrm{~m}^{-1}$ in y-direction is (c - speed of light)

1 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
2 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{k}}$ tesla
3 $\left(2 \times 10^{-7}\right) \sin [200 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
4 $\left(6 \times 10^{-7}\right) \sin [0.2 \pi(\mathrm{ct}-\mathrm{x})] \hat{\mathbf{i}}$ tesla
Electromagnetic Wave

155598 In a plane electromagnetic wave, $U_{E}$ and $U_{B}$ are average energy densities of electric field and magnetic field respectively, then the correct option in the following is

1 $\mathrm{U}_{\mathrm{E}}=\frac{\mathrm{U}_{\mathrm{B}}}{2}$
2 $U_{\mathrm{E}}=2 \mathrm{U}_{\mathrm{B}}$
3 $\mathrm{U}_{\mathrm{E}}=\mathrm{U}_{\mathrm{B}}$
4 $\mathrm{U}_{\mathrm{E}} \neq \mathrm{U}_{\mathrm{B}}$