Question:
An electron is revolving around a proton in a circular path of diameter 0.1 nm. It produces a magnetic
field $14\,Wb\,m^{-2}$ at the proton. The angular speed of the electron is
An electron is revolving around a proton in a circular path of diameter 0.1 nm. It produces a magnetic
field $14\,Wb\,m^{-2}$ at the proton. The angular speed of the electron is
Updated On: Jul 6, 2022
- $1.4\times10^{16}\,rad\,s^{-1}$
- $4.4\times10^{16}\,rad\,s^{-1}$
- $6.4\times10^{16}\,rad\,s^{-1}$
- $8.8\times10^{16}\,rad\,s^{-1}$
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
$B= \frac{\mu_0}{4 \, \pi } \frac{2 \, \pi}{R} l = \frac{\mu_0}{4 \, \pi} \times 2 \, \pi \frac{e}{t} \times \frac{I}{R}$
= $\frac{\mu_0}{4\, \pi} \times 2 \, \pi \times \frac{e}{2 \, \pi \,R/v} \times \frac{1}{R} = \frac{\mu_0}{4\, \pi} \times 2 \, \pi \times \frac{e\, v}{2 \, \pi \, R} = \frac{\mu_0}{4\, \pi } \frac{e \, \omega}{R}$
Was this answer helpful?
0
0
Top Questions on Magnetic Field
A thin transparent film with refractive index 1.4 is held on a circular ring of radius 1.8 cm. The fluid in the film evaporates such that transmission through the film at wavelength 560 nm goes to a minimum every 12 seconds. Assuming that the film is flat on its two sides, the rate of evaporation is:
- JEE Main - 2025
- Physics
- Magnetic Field
- A square loop of side 2 m lies in the Y-Z plane in a region having a magnetic field \(\mathbf{B} = (5 \hat{i} - 3 \hat{j} - 4 \hat{k}) \, \text{T}\). The magnitude of magnetic flux through the square loop is
- KCET - 2025
- Physics
- Magnetic Field
- An infinite wire has a circular bend of radius \( a \), and carrying a current \( I \) as shown in the figure. The magnitude of the magnetic field at the origin \( O \) of the arc is given by:
- JEE Main - 2025
- Physics
- Magnetic Field
- A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at the 40 cm mark. A mass of 400 g is suspended at the 10 cm mark. To maintain the balance of the rod, the mass to be suspended at the 90 cm mark is:
- JEE Main - 2025
- Physics
- Magnetic Field
- The frequency of revolution of the electron in Bohr’s orbit varies with \( n \), the principal quantum number as:
- JEE Main - 2025
- Physics
- Magnetic Field
View More Questions
Concepts Used:
Magnetic Field
The magnetic field is a field created by moving electric charges. It is a force field that exerts a force on materials such as iron when they are placed in its vicinity. Magnetic fields do not require a medium to propagate; they can even propagate in a vacuum. Magnetic field also referred to as a vector field, describes the magnetic influence on moving electric charges, magnetic materials, and electric currents.
A magnetic field can be presented in two ways.
- Magnetic Field Vector: The magnetic field is described mathematically as a vector field. This vector field can be plotted directly as a set of many vectors drawn on a grid. Each vector points in the direction that a compass would point and has length dependent on the strength of the magnetic force.
- Magnetic Field Lines: An alternative way to represent the information contained within a vector field is with the use of field lines. Here we dispense with the grid pattern and connect the vectors with smooth lines.
Properties of Magnetic Field Lines
- Magnetic field lines never cross each other
- The density of the field lines indicates the strength of the field
- Magnetic field lines always make closed-loops
- Magnetic field lines always emerge or start from the north pole and terminate at the south pole.