Two charged particles traverse identical helical paths in a compl… - Vidyadip

MCQ

Two charged particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field $B = B_0 \hat k$ .

A
They have equal $z-$ components of momenta
B
They must have equal charges
C
They necessarily represent a particle, antiparticle pair
✓
The chrge to mass ratio satisfy ${\left( {\frac{e}{m}} \right)_1} + {\left( {\frac{e}{m}} \right)_2} = 0$

✓

Answer

Correct option: D.

The chrge to mass ratio satisfy ${\left( {\frac{e}{m}} \right)_1} + {\left( {\frac{e}{m}} \right)_2} = 0$

d
For given pitch, $d$ corresponds to charged particle, we have

$\frac{\mathrm{q}}{\mathrm{m}}=\frac{2 \pi \mathrm{v} \cos \theta}{\mathrm{B}}=\mathrm{constant} \Rightarrow\left(\frac{\mathrm{e}}{\mathrm{m}}\right)_{1}+\left(\frac{\mathrm{e}}{\mathrm{m}}\right)_{2}=0$

Note Consider $e$ in place of $\mathrm{q}$ in solution.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Select the correct alternative$(s)$

A particle moving with uniform speed in a circular path maintains:

A deep rectangular pond of surface area $A,$ containing water (denstity $=\rho,$ specific heat capactly $=s$ ), is located In a region where the outside air temperature is at a steady value of $-26^{\circ} {C}$. The thickness of the frozen ice layer In this pond, at a certaln Instant Is $x$.

Taking the thermal conductivity of Ice as ${K}$, and its specific latent heat of fusion as $L$, the rate of Increase of the thickness of ice layer, at this instant would be given by

In a thermodynamic system working substance is ideal gas, its internal energy is in the form of

$I-V$ characteristic of a copper wire of length $L$ and area of cross-section $A$ is shown in figure. The slope of the curve becomes

Given below are two statements:

Statement $I$ : Electromagnetic waves are not deflected by electric and magnetic field.

Statement $II$ : The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as $E _0=\sqrt{\frac{\mu_0}{\varepsilon_0}} B_0$

In the light of the above statements, choose the correct answer from the options given below:

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass $1 \ kg$ moves with a speed of $12\ m s^{-1}$ and the second part of mass $2 \ kg$ moves with $8\ ms^{-1}$ speed. If the third part files off with $4 m s^{-1}$ speed, then its mass is $........ kg$

A photon of energy $3.4 eV$ is incident on a metal having work function $2 eV$. The maximum $K.E$. of photo-electrons is equal to ........... $eV$

A bullet of mass $m$ strikes a block of mass $M$ connected to a light spring of stiffness $k$ , with a speed $V_0$ . If the bullet gets embedded in the block then, the maximum compression in the spring is

A ring is formed by joining two uniform semi circular rings $ABC$ and $ADC$. Mass of $ABC$ is thrice of that of $ADC$. If the ring is hinged to a fixed support ,at $A$, it can rotate freely in a vertical plane. Find the value of $tan\,\theta$, where $\theta$ is the angle made. by the line $AC$ with the vertical in equilibrium