358882
A plane electromagnetic wave of frequency \(20\,MHz\) propagates in free space along positive \(x\)-direction. At a particular space and time, \(\vec{E}=6.6 \hat{j} V / m\). What is \(\vec{B}\) at this point?
1 \(2.2 \times {10^{ - 8}}\,\hat kT\)
2 \(2.2 \times {10^{ - 8}}\,\hat i\;T\)
3 \( - 2.2 \times {10^{ - 8}}\,\hat kT\)
4 \( - 2.2 \times {10^{ - 8}}\,\hat i\;T\)
Explanation:
The magnitude of \(B\) is, \(B=\dfrac{E}{c}=\dfrac{6.6}{3 \times 10^{8}}=2.2 \times 10^{-8} {~T}\) Direction of \(\vec{B}\) is along \(+\hat{z}\) direction. So, \(\vec{B}=2.2 \times 10^{-8} \hat{k} T\)
JEE - 2023
PHXI15:WAVES
358883
A plane electromagnetic wave is propagating along the \(z\) direction. If the electric field component of this wave is in the direction \((\hat{i}+\hat{j})\), then which of the following is the direction of the magnetic field component?
1 \((-\hat{i}+\hat{j})\)
2 \((\hat{i}-\hat{j})\)
3 \((-\hat{i}-\hat{j})\)
4 \((\hat{i}+\hat{k})\)
Explanation:
The magnetic field component is perpendicular to the direction of propagation and the direction of electric field. Using vector algebra, \(\vec{E} \times \vec{B}\) should be in \(z\)-direction \(\therefore \quad(\hat{i}+\hat{j}) \times(-\hat{i}+\hat{j})=2 \hat{k}\)
PHXI15:WAVES
358884
A plane electromagnetic wave of frequency \(35\,M\,Hz\) travels in free space along the \(x\) - direction. At a particular point (in space and time) \(\vec E = 9.6\,\hat j\;\,V/m.\) The value of magnetic field at this point is
1 \(9.6 \times 10^{-8} \hat{k} T\)
2 \(3.2 \times {10^{ - 8}}\,\hat i\;\,T\)
3 \(3.2 \times 10^{-8} \hat{k} T\)
4 \(9.6\hat j\;T\)
Explanation:
Given : \(f = 35M\,Hz,\vec E = 9.6\hat j\;\,V/m\) Wave is travelling along \(x\)-axis, \(\vec{n}=\vec{E} \times \vec{B}\) So, direction of \(\vec{B}\) is along \(\hat{k}\). \(\vec{B}=\dfrac{\vec{E}}{c}=\dfrac{9.6}{3 \times 10^{8}}=3.2 \times 10^{-8} ; \vec{B}=3.2 \times 10^{-8} \hat{k}\)
JEE - 2024
PHXI15:WAVES
358885
Assertion : In an electromagnetic wave the direction of the magnetic field induction \(B\) is parallel to the electric field \(E\). Reason : Electric field vector \(E\) and magnetic field vector \(B\), have the same frequency.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
In an electromagnetic wave, the direction of \(E\) and \(B\) are perpendicular to each other and they have same frequency.
358882
A plane electromagnetic wave of frequency \(20\,MHz\) propagates in free space along positive \(x\)-direction. At a particular space and time, \(\vec{E}=6.6 \hat{j} V / m\). What is \(\vec{B}\) at this point?
1 \(2.2 \times {10^{ - 8}}\,\hat kT\)
2 \(2.2 \times {10^{ - 8}}\,\hat i\;T\)
3 \( - 2.2 \times {10^{ - 8}}\,\hat kT\)
4 \( - 2.2 \times {10^{ - 8}}\,\hat i\;T\)
Explanation:
The magnitude of \(B\) is, \(B=\dfrac{E}{c}=\dfrac{6.6}{3 \times 10^{8}}=2.2 \times 10^{-8} {~T}\) Direction of \(\vec{B}\) is along \(+\hat{z}\) direction. So, \(\vec{B}=2.2 \times 10^{-8} \hat{k} T\)
JEE - 2023
PHXI15:WAVES
358883
A plane electromagnetic wave is propagating along the \(z\) direction. If the electric field component of this wave is in the direction \((\hat{i}+\hat{j})\), then which of the following is the direction of the magnetic field component?
1 \((-\hat{i}+\hat{j})\)
2 \((\hat{i}-\hat{j})\)
3 \((-\hat{i}-\hat{j})\)
4 \((\hat{i}+\hat{k})\)
Explanation:
The magnetic field component is perpendicular to the direction of propagation and the direction of electric field. Using vector algebra, \(\vec{E} \times \vec{B}\) should be in \(z\)-direction \(\therefore \quad(\hat{i}+\hat{j}) \times(-\hat{i}+\hat{j})=2 \hat{k}\)
PHXI15:WAVES
358884
A plane electromagnetic wave of frequency \(35\,M\,Hz\) travels in free space along the \(x\) - direction. At a particular point (in space and time) \(\vec E = 9.6\,\hat j\;\,V/m.\) The value of magnetic field at this point is
1 \(9.6 \times 10^{-8} \hat{k} T\)
2 \(3.2 \times {10^{ - 8}}\,\hat i\;\,T\)
3 \(3.2 \times 10^{-8} \hat{k} T\)
4 \(9.6\hat j\;T\)
Explanation:
Given : \(f = 35M\,Hz,\vec E = 9.6\hat j\;\,V/m\) Wave is travelling along \(x\)-axis, \(\vec{n}=\vec{E} \times \vec{B}\) So, direction of \(\vec{B}\) is along \(\hat{k}\). \(\vec{B}=\dfrac{\vec{E}}{c}=\dfrac{9.6}{3 \times 10^{8}}=3.2 \times 10^{-8} ; \vec{B}=3.2 \times 10^{-8} \hat{k}\)
JEE - 2024
PHXI15:WAVES
358885
Assertion : In an electromagnetic wave the direction of the magnetic field induction \(B\) is parallel to the electric field \(E\). Reason : Electric field vector \(E\) and magnetic field vector \(B\), have the same frequency.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
In an electromagnetic wave, the direction of \(E\) and \(B\) are perpendicular to each other and they have same frequency.
358882
A plane electromagnetic wave of frequency \(20\,MHz\) propagates in free space along positive \(x\)-direction. At a particular space and time, \(\vec{E}=6.6 \hat{j} V / m\). What is \(\vec{B}\) at this point?
1 \(2.2 \times {10^{ - 8}}\,\hat kT\)
2 \(2.2 \times {10^{ - 8}}\,\hat i\;T\)
3 \( - 2.2 \times {10^{ - 8}}\,\hat kT\)
4 \( - 2.2 \times {10^{ - 8}}\,\hat i\;T\)
Explanation:
The magnitude of \(B\) is, \(B=\dfrac{E}{c}=\dfrac{6.6}{3 \times 10^{8}}=2.2 \times 10^{-8} {~T}\) Direction of \(\vec{B}\) is along \(+\hat{z}\) direction. So, \(\vec{B}=2.2 \times 10^{-8} \hat{k} T\)
JEE - 2023
PHXI15:WAVES
358883
A plane electromagnetic wave is propagating along the \(z\) direction. If the electric field component of this wave is in the direction \((\hat{i}+\hat{j})\), then which of the following is the direction of the magnetic field component?
1 \((-\hat{i}+\hat{j})\)
2 \((\hat{i}-\hat{j})\)
3 \((-\hat{i}-\hat{j})\)
4 \((\hat{i}+\hat{k})\)
Explanation:
The magnetic field component is perpendicular to the direction of propagation and the direction of electric field. Using vector algebra, \(\vec{E} \times \vec{B}\) should be in \(z\)-direction \(\therefore \quad(\hat{i}+\hat{j}) \times(-\hat{i}+\hat{j})=2 \hat{k}\)
PHXI15:WAVES
358884
A plane electromagnetic wave of frequency \(35\,M\,Hz\) travels in free space along the \(x\) - direction. At a particular point (in space and time) \(\vec E = 9.6\,\hat j\;\,V/m.\) The value of magnetic field at this point is
1 \(9.6 \times 10^{-8} \hat{k} T\)
2 \(3.2 \times {10^{ - 8}}\,\hat i\;\,T\)
3 \(3.2 \times 10^{-8} \hat{k} T\)
4 \(9.6\hat j\;T\)
Explanation:
Given : \(f = 35M\,Hz,\vec E = 9.6\hat j\;\,V/m\) Wave is travelling along \(x\)-axis, \(\vec{n}=\vec{E} \times \vec{B}\) So, direction of \(\vec{B}\) is along \(\hat{k}\). \(\vec{B}=\dfrac{\vec{E}}{c}=\dfrac{9.6}{3 \times 10^{8}}=3.2 \times 10^{-8} ; \vec{B}=3.2 \times 10^{-8} \hat{k}\)
JEE - 2024
PHXI15:WAVES
358885
Assertion : In an electromagnetic wave the direction of the magnetic field induction \(B\) is parallel to the electric field \(E\). Reason : Electric field vector \(E\) and magnetic field vector \(B\), have the same frequency.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
In an electromagnetic wave, the direction of \(E\) and \(B\) are perpendicular to each other and they have same frequency.
NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXI15:WAVES
358882
A plane electromagnetic wave of frequency \(20\,MHz\) propagates in free space along positive \(x\)-direction. At a particular space and time, \(\vec{E}=6.6 \hat{j} V / m\). What is \(\vec{B}\) at this point?
1 \(2.2 \times {10^{ - 8}}\,\hat kT\)
2 \(2.2 \times {10^{ - 8}}\,\hat i\;T\)
3 \( - 2.2 \times {10^{ - 8}}\,\hat kT\)
4 \( - 2.2 \times {10^{ - 8}}\,\hat i\;T\)
Explanation:
The magnitude of \(B\) is, \(B=\dfrac{E}{c}=\dfrac{6.6}{3 \times 10^{8}}=2.2 \times 10^{-8} {~T}\) Direction of \(\vec{B}\) is along \(+\hat{z}\) direction. So, \(\vec{B}=2.2 \times 10^{-8} \hat{k} T\)
JEE - 2023
PHXI15:WAVES
358883
A plane electromagnetic wave is propagating along the \(z\) direction. If the electric field component of this wave is in the direction \((\hat{i}+\hat{j})\), then which of the following is the direction of the magnetic field component?
1 \((-\hat{i}+\hat{j})\)
2 \((\hat{i}-\hat{j})\)
3 \((-\hat{i}-\hat{j})\)
4 \((\hat{i}+\hat{k})\)
Explanation:
The magnetic field component is perpendicular to the direction of propagation and the direction of electric field. Using vector algebra, \(\vec{E} \times \vec{B}\) should be in \(z\)-direction \(\therefore \quad(\hat{i}+\hat{j}) \times(-\hat{i}+\hat{j})=2 \hat{k}\)
PHXI15:WAVES
358884
A plane electromagnetic wave of frequency \(35\,M\,Hz\) travels in free space along the \(x\) - direction. At a particular point (in space and time) \(\vec E = 9.6\,\hat j\;\,V/m.\) The value of magnetic field at this point is
1 \(9.6 \times 10^{-8} \hat{k} T\)
2 \(3.2 \times {10^{ - 8}}\,\hat i\;\,T\)
3 \(3.2 \times 10^{-8} \hat{k} T\)
4 \(9.6\hat j\;T\)
Explanation:
Given : \(f = 35M\,Hz,\vec E = 9.6\hat j\;\,V/m\) Wave is travelling along \(x\)-axis, \(\vec{n}=\vec{E} \times \vec{B}\) So, direction of \(\vec{B}\) is along \(\hat{k}\). \(\vec{B}=\dfrac{\vec{E}}{c}=\dfrac{9.6}{3 \times 10^{8}}=3.2 \times 10^{-8} ; \vec{B}=3.2 \times 10^{-8} \hat{k}\)
JEE - 2024
PHXI15:WAVES
358885
Assertion : In an electromagnetic wave the direction of the magnetic field induction \(B\) is parallel to the electric field \(E\). Reason : Electric field vector \(E\) and magnetic field vector \(B\), have the same frequency.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
In an electromagnetic wave, the direction of \(E\) and \(B\) are perpendicular to each other and they have same frequency.
