Question:
An electromagnetic wave propagating through vacuum, described by \( E = E_0 \sin(kx - \omega t) \), \( B = B_0 \sin(kx - \omega t) \), then:
An electromagnetic wave propagating through vacuum, described by \( E = E_0 \sin(kx - \omega t) \), \( B = B_0 \sin(kx - \omega t) \), then:
Show Hint
The electric and magnetic field amplitudes in an electromagnetic wave are related by the speed of light, \( c = E_0 / B_0 \).
Updated On: Mar 3, 2025
- \( E_0 k = B_0 \omega \)
- \( E_0 \omega = B_0 k \)
- \( E_0 B_0 = \omega k \)
- \( E_0 B_0 = \sqrt{\omega k} \)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
For an electromagnetic wave, the electric and magnetic field strengths \( E_0 \) and \( B_0 \) are related by the speed of light in vacuum \( c \):
\[
E_0 = c B_0.
\]
The wave number \( k \) and angular frequency \( \omega \) are related to the speed of light as:
\[
c = \frac{\omega}{k}.
\]
Combining the two equations, we get:
\[
E_0 \omega = B_0 k.
\]
Was this answer helpful?
0
0
Top Questions on Alpha-Particle Scattering And Rutherford’S Nuclear Model Of Atom
- Mention the most important conclusion of Rutherford's alpha-particle scattering experiment. Define isotopic, isobaric, and isotonic nuclei. Find the energy equivalent to one atomic mass unit in joules and MeV (1 u = 1.6605 × \(10^{-27}\) kg).
- UP Board XII - 2025
- Physics
- Alpha-Particle Scattering And Rutherford’S Nuclear Model Of Atom
- Mention the major drawbacks of Rutherford's atomic model.
- UP Board XII - 2025
- Physics
- Alpha-Particle Scattering And Rutherford’S Nuclear Model Of Atom
- An \(\alpha\)-particle accelerated by potential difference of V volt strikes with a nucleus (atomic no. = Z). If r be the nearest distance of the particle to reach the nucleus then prove that : \(r = 14.4 \frac{Z}{V} \AA\)
- UP Board XII - 2025
- Physics
- Alpha-Particle Scattering And Rutherford’S Nuclear Model Of Atom
- The force, by which the \(\alpha\)-particles are scattered in the \(\alpha\)-particle scattering experiment of Rutherford, is
- UP Board XII - 2025
- Physics
- Alpha-Particle Scattering And Rutherford’S Nuclear Model Of Atom
- Given below are two statements :
Statement I : Most of the mass of the atom and all its positive charge are concentrated in a tiny nucleus and the electrons revolve around it, is Rutherford’s model.
Statement II : An atom is a spherical cloud of positive charges with electrons embedded in it, is a special case of Rutherford’s model.
In the light of the above statements, choose the most appropriate from the options given below.- JEE Main - 2024
- Physics
- Alpha-Particle Scattering And Rutherford’S Nuclear Model Of Atom
View More Questions
Questions Asked in UP Board XII exam
- Find the unit vector perpendicular to each of the vectors (\( \vec{a} + \vec{b} \)) and (\( \vec{a} - \vec{b} \)) where \[\vec{a} = \hat{i} + \hat{j} + \hat{k}, \, \vec{b} = \hat{i} + 2\hat{j} + 3\hat{k}.\]
- Show that the function \( f(x) = 7x^2 - 3 \) is an increasing function when \( x>0 \).
- UP Board XII - 2026
- Application of derivatives
- The radius of an air bubble is increasing at the rate of \(\frac{1}{2} \, \text{cm/s}\). At what rate is the volume of the bubble increasing while the radius is 1 cm?
- UP Board XII - 2026
- Application of derivatives
- If three vectors \(\vec{a}\), \(\vec{b}\) and \(\vec{c}\) satisfying the condition \(\vec{a} + \vec{b} + \vec{c} = 0\). If \(|\vec{a}| = 3\), \[|\vec{b}| = 4 \text{ and } |\vec{c}| = 2, \text{ then find the value of } \vec{a} \cdot \vec{b} + \vec{b} \cdot \vec{c} + \vec{c} \cdot \vec{a}.\] 5
- Prove that (4, 4, 2), (3, 5, 2) and (-1, -1, 2) are vertices of a right angle triangle.
View More Questions