A particle with charge $-Q$ and mass m enters a magnetic field of magnitude $B,$ existing only to the right of the boundary $YZ$. The direction of the motion of the $m$ particle is perpendicular to the direction of $B.$ Let $T = 2\pi\frac{m}{{QB}}$ . The time spent by the particle in the field will be
Advanced
Download our app for free and get started
$\boldsymbol{\alpha}=\pi-2 \boldsymbol{\theta}$
$t=\frac{T}{2 \pi}(\pi-2 \theta)$
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
- 1Acharged particle enters a uniform magnetic field perpendicular to its initial direction travelling in air. The path of the particle is seen to follow the path in figure. Which of statements $1-3$ is/are correct?View Solution
$[1]$ The magnetic field strength may have been increased while the particle was travelling in air
$[2]$ The particle lost energy by ionising the air
$[3]$ The particle lost charge by ionising the air
- 2A charged particle moves with velocity $v$ in a uniform magnetic field $\overrightarrow B $. The magnetic force experienced by the particle isView Solution
- 3The magnetic induction at the centre $O$ of the current carrying bent wire shown in the adjoining figure isView Solution
- 4Two long parallel copper wires carry currents of $5\,A$ each in opposite directions. If the wires are separated by a distance of $0.5\,m$, then the force between the two wires isView Solution
- 5A solenoid of $1.5$ $metre$ length and $4.0\, cm$ diameter posses $10$ $turn$ per $cm$. A current of $5$ $ampere$ is flowing through it. The magnetic induction at axis inside the solenoid isView Solution
- 6A galvanometer having a coil resistance of $100\ \Omega$. gives a full scale deflection, when a currect of $I\ mA$ is passed through it. The value of the resistance, which can convert this galvanometer into ammeter giving a full scale deflection for a current of $10\ A$, is :......$Ω$View Solution
- 7A current of $1.5\, {A}$ is flowing through a triangle, of side $9\, {cm}$ each. The magnetic field at the centroid of the triangle isView Solution
(Assume that the current is flowing in the clockwise direction.)
- 8Two long and parallel straight wires $A$ and $B$ carrying currents of $8.0\, A$ and $5.0\, A$ in the same direction are separated by a distance of $4.0\, cm$. Estimate the force on a $10\, cm$ section of wire $A$View Solution
- 9A current $i$ $ampere$ flows along an infinitely long straight thin walled tube, then the magnetic induction at any point inside the tube isView Solution
- 10A $2\, MeV$ proton is moving perpendicular to a uniform magnetic field of $2.5\, tesla$. The force on the proton isView Solution