Question:
A physical quantity $\vec{ S }$ is defined as \(\vec{ S }=\frac{(\vec{ E } \times \vec{ B }) }{ \mu_{0}}\), where $\vec{ E }$ is electric field, $\vec{ B }$ is magnetic field and $\mu_{0}$ is the permeability of free space. The dimensions of $\vec{ S }$ are the same as the dimensions of which of the following quantity(ies)?
A physical quantity $\vec{ S }$ is defined as \(\vec{ S }=\frac{(\vec{ E } \times \vec{ B }) }{ \mu_{0}}\), where $\vec{ E }$ is electric field, $\vec{ B }$ is magnetic field and $\mu_{0}$ is the permeability of free space. The dimensions of $\vec{ S }$ are the same as the dimensions of which of the following quantity(ies)?
Updated On: May 23, 2024
- $\frac{\text { Energy }}{\text { Charge } \times \text { Current }}$
- $\frac{\text { Force }}{\text { Lenght } \times \text { Time }}$
- $\frac{\text { Energy }}{\text { Volume }}$
- $\frac{\text { Power }}{\text { Area }}$
Hide Solution
Verified By Collegedunia
The Correct Option is B, D
Solution and Explanation
(B) $\frac{\text { Force }}{\text { Lenght } \times \text { Time }}$
(D)$\frac{\text { Force }}{\text { Lenght } \times \text { Time }}$
(D)$\frac{\text { Force }}{\text { Lenght } \times \text { Time }}$
Was this answer helpful?
0
0
Top Questions on Electromagnetic waves
- A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particular point in space and time, the electric field vector of the wave is \( E_y = 9.3 \, \text{V/m} \). Then, the magnetic field vector of the wave at that point is:
- JEE Main - 2025
- Physics
- Electromagnetic waves
- Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Electromagnetic waves carry energy but not momentum.
Reason (R): Mass of a photon is zero. In the light of the above statements, choose the most appropriate answer from the options given below:- JEE Main - 2025
- Physics
- Electromagnetic waves
- A plane electromagnetic wave propagates along the \( +x \) direction in free space. The components of the electric field \( \vec{E} \) and magnetic field \( \vec{B} \) vectors associated with the wave in Cartesian frame are:
- JEE Main - 2025
- Physics
- Electromagnetic waves
- The magnetic field of an E.M. wave is given by: \[ \vec{B} = \left( \frac{\sqrt{3}}{2} \hat{i} + \frac{1}{2} \hat{j} \right) 30 \sin \left( \omega \left( t - \frac{z}{c} \right) \right) \] The corresponding electric field in S.I. units is:
- JEE Main - 2025
- Physics
- Electromagnetic waves
- Match Electromagnetic waves listed in Column I with Production method/device in Column II.
The correctly matched combination is as in option :- CUET (UG) - 2024
- Physics
- Electromagnetic waves
View More Questions
Questions Asked in JEE Advanced exam
- Let \(S=\left\{\begin{pmatrix} 0 & 1 & c \\ 1 & a & d\\ 1 & b & e \end{pmatrix}:a,b,c,d,e\in\left\{0,1\right\}\ \text{and} |A|\in \left\{-1,1\right\}\right\}\), where |A| denotes the determinant of A. Then the number of elements in S is _______.
- JEE Advanced - 2024
- Matrices
- A positive, singly ionized atom of mass number \( A_M \) is accelerated from rest by the voltage \( 192 \, \text{V} \). Thereafter, it enters a rectangular region of width \( w \) with magnetic field \( \vec{B}_0 = 0.1\hat{k} \, \text{T} \). The ion finally hits a detector at the distance \( x \) below its starting trajectory. Which of the following option(s) is(are) correct? \[ \text{(Given: Mass of neutron/proton = } \frac{5}{3} \times 10^{-27} \, \text{kg, charge of the electron = } 1.6 \times 10^{-19} \, \text{C).} \]
- JEE Advanced - 2024
- Electromagnetic Field (EMF)
- A thin stiff insulated metal wire is bent into a circular loop with its two ends extending tangentially from the same point of the loop. The wire loop has mass \( m \) and radius \( r \) and is in a uniform vertical magnetic field \( B_0 \). When a current \( I \) is passed through the loop, the loop turns about the line PQ by an angle \( \theta \). The angle \( \theta \) is given by:
- JEE Advanced - 2024
- Electromagnetic Field (EMF)
- A region in the form of an equilateral triangle (in x-y plane) of height \( L \) has a uniform magnetic field \( \mathbf{B} \) pointing in the \( +z \)-direction. A conducting loop PQR, in the form of an equilateral triangle of the same height \( L \), is placed in the x-y plane with its vertex \( P \) at \( x = 0 \) in the orientation shown in the figure. At \( t = 0 \), the loop starts entering the region of the magnetic field with a uniform velocity \( \mathbf{v} \) along the \( +x \)-direction. The plane of the loop and its orientation remain unchanged throughout its motion.
Which of the following graphs best depicts the variation of the induced emf (\( \mathcal{E} \)) in the loop as a function of the distance (\( x \)) starting from \( x = 0 \)?- JEE Advanced - 2024
- Radioactivity
- A table tennis ball has radius \( \frac{3}{2} \times 10^{-2} \, \text{m} \) and mass \( \frac{22}{7} \times 10^{-3} \, \text{kg} \). It is slowly pushed down into a swimming pool to a depth \( d = 0.7 \, \text{m} \) below the water surface and then released from rest. It emerges from the water surface at speed \( v \), without getting wet, and rises to a height \( H \). Which of the following option(s) is(are) correct?\(\text{(Given: } \pi = \frac{22}{7}, g = 10 \, \text{m/s}^2, \text{density of water} = 1 \times 10^3 \, \text{kg/m}^3, \text{viscosity of water} = 1 \times 10^{-3} \, \text{Pa.s).}\)
- JEE Advanced - 2024
- Radioactivity
View More Questions