A particle of mass $m$ and charge $q$ moves with a constant velocity $v$ along the positive $x$ direction. It enters a region containing a uniform magnetic field $B$ directed along the negative $z$ direction, extending from $x = a$ to $x = b$. The minimum value of $v$ required so that the particle can just enter the region $x > b$ is
IIT 2002, Diffcult
Download our appand 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.*
Similar Questions
- 1A circular coil having $N\,turns$ and radius $r$ carries a current. It is held in the $XZ$ plane in a magnetic field $B\hat i$ . The torque on the coil due to the magnetic field isView Solution
- 2A long straight wire carries an electric current of $2\,A$. The magnetic induction at a perpendicular distance of $5\,m$ from the wire isView Solution
- 3The oscillator frequency of a cyclotron is $10 \,MHz$. What should be the operating magnetic field for accelerating proton is ......... $T$View Solution
- 4A block of mass $m$ $\&$ charge $q$ is released on a long smooth inclined plane magnetic field $B$ is constant, uniform, horizontal and parallel to surface as shown. Find the time from start when block loses contact with the surface.View Solution
- 5$A$ particle having charge $q$ enters a region of uniform magnetic field $\vec B$ (directed inwards) and is deflected a distance $x$ after travelling a distance $y$. The magnitude of the momentum of the particle is:View Solution
- 6A current $I$ flows in an infinitely long wire with cross section in the form of a semi-circular ring of radius $R$. The magnitude of the magnetic induction along its axis is:View Solution
- 7A charge of $4.0 \mu \mathrm{C}$ is moving with a velocity of $4.0 \times 10^6 \mathrm{~ms}^{-1}$ along the positive $\mathrm{y}$-axis under a magnetic field $\vec{B}$ of strength $(2 \hat{k})\ T$. The force acting on the charge is $x \hat{i} N$. The value of $x$ is__________.View Solution
- 8A galvanometer has $30$ divisions and a sensitivity $16\,\mu A/{\rm{div}}{\rm{.}}$ It can be converted into a voltmeter to read $3\, V$ by connectingView Solution
- 9A wire carrying current $i$ is shaped as shown. Section $AB$ is a quarter circle of radius $r$. The magnetic field is directedView Solution
- 10View SolutionA magnetic field can be produced by