A particle of mass $m$ and charge $q$ moving with velocity $v$ enters a region of uniform magnetic field $B.$ Then
A
Its path in the region of field is always circular
BIts path in the region of field is circular if $\vec v\, \times \,\vec B\, = \,\vec 0$
CIts path in the region is helical if $\vec v\, \times \,\vec B\, = \,\vec 0$
DTime period T does not depend on the angle between $\vec v\,$ and $\vec B\,$ .
Medium
Download our app for free and get started
DTime period T does not depend on the angle between $\vec v\,$ and $\vec B\,$ .
d Time period $T = \frac {2\pi m}{qB}$
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.*
An element $d l=d x \hat{l}$ (where, $d x=1\, cm$ ) is placed at the origin and carries a large current $i=10 A$. What is the magnetic field on the $Y$ -axis at a distance of $0.5\, m$ ?
Two straight parallel wires, both carrying $10$ $ampere$ in the same direction attract each other with a force of $1 \times {10^{ - 3}}\,N$. If both currents are doubled, the force of attraction will be
A circuit contains an ammeter, a battery of $30\,V$ and a resistance $40.8\, ohm$ all connected in series. If the ammeter has a coil of resistance $480\,ohm$ and a shunt of $20\,ohm$, the reading in the ammeter will be .................. $A$
A beam of electrons passes undeflected through mutually perpendicular electric and magnetic fields. It the electric field is switched off, and the same magnetic field is maintained, the electrons move
A galvanometer having a resistance $G$ and current $I_g$ flowing in it, produces full scale defection. If $S_1$ is the value of shunt which converts it into an ammeter of range $0-I$ and $S_2$ is the value of shunt for range $0-8I$ . Then the ratio $\frac {S_1}{S_2}$ will be
An ion beam of specific charge $5 \times 10^7$ $coulomb/kg$ enter a uniform magnetic field of $4 \times 10^{-2}\, tesla$ with a velocity $2 \times 10^5\, m/s$ perpendicularly. The radius of the circular path of ions in meter will be
An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current of $i$ $ampere$ and the radius of the circular loop is $r$ $metre$. Then the magnetic induction at its centre will be
The resistance of an ammeter is $13\, \Omega$ and its scale is graduated for a current upto $100$ $amps$. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto $750$ $ampere$ by this meter. The value of shunt-resistance is