What does an accelerator do to a charged particle?

State the kinetic-energy gain for charge \(q\) accelerated through potential difference \(V\).

Why do magnetic fields bend charged-particle tracks?

An electron is accelerated through \(500\,\mathrm V\). Find its kinetic energy in electronvolts.

Convert \(2.0\,\mathrm{MeV}\) to joules.

State the momentum relation for a charged particle moving perpendicular to a uniform magnetic field.

A proton is accelerated through \(3.0\,\mathrm{MV}\). Find its kinetic energy in MeV.

A singly charged particle moves in \(B=0.40\,\mathrm T\) with track radius \(0.50\,\mathrm m\). Find its momentum.

Why does a magnetic field not increase the kinetic energy of a charged particle?

Two particles have the same charge magnitude in the same magnetic field. Particle A has twice the track radius of particle B. Compare their momenta.

Explain why colliders can be more useful than fixed-target experiments for creating heavy particles.

Why do detectors often have several layers rather than one measurement device?

A particle bends more strongly than another particle with the same charge in the same magnetic field. What does that suggest?

A charged particle travels \(2.0\,\mathrm m\) in \(8.0\,\mathrm{ns}\). Estimate its speed and comment.

Why does track curvature give charge sign as well as momentum magnitude?

Derive \(p=|q|Br\) for perpendicular motion in a uniform magnetic field.

A particle with charge \(+e\) has \(p=4.8\times10^{-20}\,\mathrm{kg\,m\,s^{-1}}\) in a \(0.60\,\mathrm T\) field. Find the radius.

A detector records high energy in an electromagnetic calorimeter and little penetration beyond it. What particle type is plausible?

Why does increasing accelerator voltage not by itself guarantee discovery of a chosen particle?

A neutral particle is not directly curved by a magnetic field. How can detector data still reveal it?