A particle of charge $16\times10^{-16}\, C$ moving with velocity $10\, ms^{-1}$ along $x-$ axis enters a region where magnetic field of induction $\vec B$ is along the $y-$ axis and an electric field of magnitude $10^4\, Vm^{-1}$ is along the negative $z-$ axis. If the charged particle continues moving along $x-$ axis, the magnitude of $\vec B$ is
A$16\times10^3\, Wb \,m^{ -2}$
B$2\times10^3\, Wb \,m^{ -2}$
C$1\times10^3\, Wb \,m^{ -2}$
D$4\times10^3\, Wb \,m^{ -2}$
JEE MAIN 2013, Medium
Download our app for free and get started
C$1\times10^3\, Wb \,m^{ -2}$
c Since particle is moving undeflected So, $qE\, = qvB$
$ \Rightarrow B = \frac{E}{V} = \frac{{{{10}^4}}}{{10}} = {10^3}\,wb/{m^2}$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A magnetic needle suspended parallel to a magnetic field requires $\sqrt 3\,J $ of work to turn it through $60^o$. The torque needed to maintain the needle in this position will be
The flux density obtained at the centre of a circular coil of radius $R$ which carries a current $i$, is $B_0$. At a distance $‘pR’$ from the centre on the axis, the flux density will be
A proton and an $\alpha - $particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes $25$ $\mu \, sec$ to make $5$ revolutions, then the periodic time for the $\alpha - $ particle would be........$\mu \, sec$
A long straight wire carries a current along the $x$-axis. Consider the points $A(0, 1, 0), B(0, 1, 1), C(1, 0, 1)$ and $D(1, 1, 1)$. Which of the following pairs of points will have magnetic fields of the same magnitude?
A current $i$ ampere flows along the inner conductor of a coaxial cable and returns along the outer conductor of the cable, then the magnetic induction at any point outside the conductor at a distance $r$ metre from the axis is
A straight wire of length $0.5\, metre$ and carrying a current of $1.2\, ampere$ placed in a uniform magnetic field of induction $2\, Tesla$. The magnetic field is perpendicular to the length of the wire. The force on the wire is.......$N$
Two particles $\mathrm{X}$ and $\mathrm{Y}$ having equal charges are being accelerated through the same potential difference. Thereafter they enter normally in a region of uniform magnetic field and describes circular paths of radii $R_1$ and $R_2$ respectively. The mass ratio of $\mathrm{X}$ and $\mathrm{Y}$ is :