Protons having kinetic energy K emerge from an accelerator as a narrow beam. The beam is bent by a perpendicular magnetic field so that it just misses a plane target kept at a distance I in front of the accelerator. Find the magnetic field.

A proton and an alpha particle of the same velocity enter in turn a region of unifrom magnetic field acting a plane perpendicular to the magnetic field. Deduce the ratio of the radii of the circular paths described by the particles. Explain why kinetic energy of the particle after emerging from the magnetic field remains unaltered.

Two parallel beams of protons and electrons, carrying equal currents are fixed at a separation d. The protons and electrons move in opposite directions. There is a point P on the straight perpendicular line joining the two beams at a distance x from one beam. The magnetic field at this point is B. If B is plotted against x, it can be represented by the curve.

If a proton, deuteron, and alpha particle on being accelerated by the same potential difference enters perpendicular to the magnetic field, then the ratio of their kinetic energies is

A beam of electrons whose kinetic energy is K emerges from a thin-foil "window" at end of an accelerator tube. A metal plate at distance d from this window is perpendicular to the direction of the emerging beam. (a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic field such that Bgesqrt((2mK)/(e^(2)d^(2)) in which m and e are the electrons mass and charge (b) How should vecB be oriented?

A beam of charged particle, having kinetic energy 10^3 eV , contains masses 8xx10^(-27) kg and 1.6xx10^(-26) kg emerge from the end of an accelerator tube. There is a plate at distance 10^2 m from the end of the tube and placed perpendicular to the beam. Calculate the magnitude of the smallest magnetic field which can prevent the beam from striking the plate.

A beam of charged particle, having kinetic energy 10^3 eV , contains masses 8xx10^(-27) kg and 1.6xx10^(-26) kg emerge from the end of an accelerator tube. There is a plate at distance 10^2 m from the end of the tube and placed perpendicular to the beam. Calculate the magnitude of the smallest magnetic field which can prevent the beam from striking the plate.

Protons having a kinetic energy of 50 eV are moving in the positive x-direction and enter a magnetic field B=0.5m hat k T directed out of the plane of the page and extending from x=0 to x=1 m as shown in Fig. 1.34. a. Calculate the y-component of the protons' momentum as they leave the magnetic field. b. Find the angle phi between the initial velocity vector of the proton beam and the velocity vector after the beam emerges from the field. Ignore relativistic effects and note that 1 eV=1.60 xx 10^(-19) J.

Protons having a kinetic energy of 5 MeV are moving in the positive x-direction and enter a magnetic field B=0.0500 hat k T directed out of the plane of the page and extending from x=0 to x=1 m as shown in Fig. 1.34. a. Calculate the y-component of the protons' momentum as they leave the magnetic field. b. Find the angle phi between the initial velocity vector of the proton beam and the velocity vector after the beam emerges from the field. Ignore relativistic effects and note that 1 eV=1.60 xx 10^(-19) J.

A proton is moving perpendicular to a uniform magnetic field of 2.5 tesla with 2MeV kinetic energy. The force on the proton is ______ .