${H^ + },\,H{e^ + }$ and ${O^{ + + }}$ ions having same kinetic energy pass through a region of space filled with uniform magnetic field $B$ directed perpendicular to the velocity of ions. The masses of the ions ${H^ + },\,H{e^ + }$and ${O^{ + + }}$ are respectively in the ratio $1:4:16$. As a result
Medium
Download our app for free and get startedPlay store
(d) $r \propto \frac{{\sqrt m }}{q}$$ \Rightarrow {r_H}:{r_{He}}:{r_o} = \frac{{\sqrt 1 }}{1}:\frac{{\sqrt 4 }}{1}:\frac{{\sqrt {16} }}{2} = 1:2:2$
Radius is smallest for ${H^ + }$, so it is deflected most.
art

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.*

Similar Questions

  • 1
    The dimensional formula for the physical quantityis $\frac{{{E^2}{\mu _0}{\varepsilon _0}}}{{{B^2}}}$ ($E =$ electric field and $B =$ magnetic field)
    View Solution
  • 2
    At a distance of $10\, cm $ from a long straight wire carrying current, the magnetic field is $0.04\, T$. At the distance of $40\, cm$, the magnetic field will be....$T$
    View Solution
  • 3
    A coil having $100$ turns, area of $5 \times 10^{-3} \mathrm{~m}^2$, carrying current of $1 \mathrm{~mA}$ is placed in uniform magnetic field of $0.20 \mathrm{~T}$ such a way that plane of coil is perpendicular to the magnetic field. The work done in turning the coil through $90^{\circ}$ is . . . . . . $\mu \mathrm{J}$.
    View Solution
  • 4
    A small coil of $N$ $turns$ has an effective area $A$ and carries a current $I$. It is suspended in a horizontal magnetic field $\overrightarrow B $ such that its plane is perpendicular to $\overrightarrow B $. The work done in rotating it by $180^\circ $ about the vertical axis is
    View Solution
  • 5
    The magnetic field near a current carrying conductor is given by
    View Solution
  • 6
    A solenoid of $N$ turn, $'l'$ length and $'r'$ radius of cross - section. If current $i$ flow in solenoid then magnetic field at axial mid point will be (where $l\, \simeq \,\,r$ ) 
    View Solution
  • 7
    A circular coil of $1000\,turns$ and area of cross-section $1.5 \times 10^{-4}\, m^2$, is carrying a current of $2\,A$. What is the magnetic moment associated with the coil?....$Am^2$
    View Solution
  • 8
    A proton of mass $m$ and charge $+e$ is moving in a circular orbit in a magnetic field with energy $1\, MeV$. What should be the energy of $\alpha - $particle (mass = $4m$ and charge = $+ 2e),$ so that it can revolve in the path of same radius.......$MeV$
    View Solution
  • 9
    The magnetic field is uniform for $y>0$ and points into the plane. The magnetic field is uniform and points out of the plane for $y<0$. A proton denoted by filled circle leaves $y=0$ in the $-y$-direction with some speed as shown below.Which of the following best denotes the trajectory of the proton?
    View Solution
  • 10
    A uniform magnetic field $B$ of $0.3\, T$ is along the positive $Z-$ direction . A rectangular loop $(abcd)$ of sides $10\, cm\times5\, cm$ carries a current $I$ of $12\, A$. Out of the following different orientations which one corresponds to stable equilibrium ?
    View Solution