Home
Class 12
PHYSICS
A non-relativistic proton beam passes wi...

A non-relativistic proton beam passes without deviation through a region of space where there are uniform transverse mutually perpendicular electric and magnetic fields with `E= 120 kVm^-1 and B=50 mT.` Then the beam strikes a grounded target. Find the force which the beam acts on the target if the beam current is equal to `i=0.8 mA`.
Mass of protons `= 1.67xx10^(-27) kg`.

Text Solution

Verified by Experts

Here the proton beam passes without deviation, hence
`F_b = F_e impliesBev=eE`
`:. V=E/B=(120xx10^3)/(50xx10^-3)=2.4xx10^6 ms^-1`
Number of protons reaching per second
`(nq)/t=0.8xx10^-3`
or `(nxx1.6xx10^-19)/1=0.8xx10^-3 or n=5xx10^15`
Total mass of proton reaching per second
`=(5xx10^15)xx(1.67xx10^-27)=8.35xx10^-12kg`
`Force= ("Change in momentum")/("time")`
`=[(8.35xx10^-12)(2.4xx10^6)]//1`
`20.04xx10^-6N=20.04muN`
.
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS|Exercise Solved Example|25 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS|Exercise Exercise 1.1|22 Videos

  • KINETIC THEORY

    CENGAGE PHYSICS|Exercise Question Bank|31 Videos

  • Magnetism and Matter

    CENGAGE PHYSICS|Exercise Question Bank|50 Videos

Similar Questions

Explore conceptually related problems

A proton beam passes without deviation through a region of space where there are uniform transverse mutually perpendicular electric and magnetic field with E and B Then the beam strikes a grounded target. Find the force imparted by the beam on the target if the beam current is equal to I .

A beam of non-relativistic charged particles moves without deviation through the region of space A where there are transverse mutually perpendicular electric and magnetic fields with strength E and induction B. When the magnetic field is switched off, the trace of the beam on the screen S shifts by Delta x . Knowing the distance a and b, find the specific charge q/m of the particles.

A proton of mass m=1.67xx10^(-27) kg moves uniformly in a space where there are uniform, mutually perpendicular electric and magnetic fields with E_(z)=5 kV//m and B_(x)=40 mT at an angle phi=60^(@) with the x-axis in the xy-plane. Find the pitch of the trajectory after the electric field is switched off.

Non-relativistic protons move reactilinearly in the region of space where there are uniform mutually perpendicular electric and magnetic fields with E and B. The trajectory of the protons lie in the plane X-Y as shown in Fig. 1.107 and forms an angle phi with X-axis. Find the pitch of the helical trajectory along which the protons will move after the electric field is switched off.

A beam of alpha particle passes underflected with a horizontal velocity v, through a region of electric and magnetic fields, mutually perpendicular to each other and normal to the direction of the beam. If the mangnitude of the electric and magnetic fields are 120kVm^-1 and 60mT respectively, calculate (i) velocity of the beam (ii) force with which it strikes a target on a screen, if the alpha particle beam current is equal to 1mA ? Mass of proton=mass of neutron =1*675xx10^(-27)kg .

Protons move rectilinearly in the region of space where there are uniform mutually perpendicular electric and magnetic fields E and B . The trajectory of protons lies in the plane xz as shown in the figure and forms an angle 9 with x-axis. Find the pitch of the helical trajectory along which the protons will move after the electric field is switched off.

A beam of well collimated cathode rays travelling with a speed of 5xx10^(6)ms^(-1) enter a region of mutually perpendicular electric and magnetic fields and emerge undeviated from this region. If |B|=0.02t , the magnitude of the electric field is