Worksheet: Identifying Particles in Detectors

In this worksheet, we will practice determining the charge and mass of particles from the paths that they follow through particle detectors.

Q1:

An up quark has a mass of 2,300 keV/c2. What is the mass of an up quark in kilograms? Give your answer to 3 significant figures.

  • A4.10×10 kg
  • B4.53×10 kg
  • C2.43×10 kg
  • D9.45×10 kg
  • E4.10×10 kg

Q2:

What is 2.71×10 kg in mega-electron volts per speed of light squared (MeV/c2)? Give your answer to 3 significant figures.

Q3:

An electron has a mass of 9.11×10 kg. What is the mass of an electron in kilo-electron volts per speed of light squared (keV/c2)? Give your answer to 3 significant figures.

Q4:

A muon has a mass of 106 MeV/c2. What is the minimum energy of a photon that can produce a muon and an antimuon via pair production? Give your answer in mega-electron volts.

Q5:

A tauon has a mass of 1,780 MeV/c2 and a muon has a mass of 106 MeV/c2. What is the ratio of the mass of a tauon to the mass of a muon? Give your answer to 3 significant figures.

Q6:

An electron has a mass of 511 keV/c2. What would the energy of a photon that was produced from the annihilation of an electron and a positron be? Assume that the kinetic energy of the two particles is negligible. Give your answer in kilo-electron volts.

Q7:

What is 15.0 eV/c2 in kilograms? Give your answer to 3 significant figures.

  • A6.37×10 kg
  • B1.19×10 kg
  • C3.75×10 kg
  • D2.67×10 kg
  • E9.67×10 kg

Q8:

A muon moves through a uniform magnetic field with a field strength of 0.100 T. It has a constant speed of 4.10×10 m/s. What is the radius of the circular path that it follows? Take the muon to have a mass of 1.88×10 kg and a charge of 1.60×10 C. Give your answer to 3 significant figures.

Q9:

What magnetic field strength of a uniform magnetic field is required to make an electron moving at a speed of 1.50×10 m/s follow a circular path with a radius of 10.0 cm? An electron has a charge of 1.60×10 C and a mass of 9.12×10 kg. Give your answer in teslas to 3 significant figures.

  • A8.55×10 T
  • B2.63×10 T
  • C2.63×10 T
  • D8.55×10 T
  • E117 T

Q10:

A charged particle moves through a uniform magnetic field in a bubble chamber. It moves along a circular path with a radius of 10.0 cm. Its speed is 5.10×10 m/s and its mass is 8.80×10 kg. The strength of the magnetic field is 0.280 T. What is the charge of the particle? Give your answer in coulombs to 3 significant figures.

  • A3.13×10 C
  • B6.24×10 C
  • C1.60×10 C
  • D1.26×10 C
  • E3.20×10 C

Q11:

The diagram shows a charged particle moving through a uniform magnetic field. The particle moves along a circular path. Which of 𝐾, 𝐿, 𝑀, and 𝑁 shows the direction of the force experienced by the charged particle due to the magnetic field?

  • A𝑀
  • B𝐾
  • C𝐿
  • D𝑁

Q12:

A charged particle moves through a uniform magnetic field in a bubble chamber. It moves along a circular path with a radius of 4.44 mm. Its speed is 6.00×10 m/s and its charge is 1.60×10 C. The strength of the magnetic field is 0.210 T. What is the mass of the particle? Give your answer in kilograms to 3 significant figures.

  • A5.64×10 kg
  • B5.64×10 kg
  • C2.49×10 kg
  • D2.49×10 kg
  • E2.49×10 kg

Q13:

A charged particle moves through a uniform magnetic field. It moves along a circular path with a radius of 0.0200 m. Its speed is 3.40×10 m/s. The strength of the magnetic field is 0.200 T. What is the charge to mass ratio of the particle? Give your answer in C/kg to 3 significant figures.

  • A1.18×10 C/kg
  • B3.40×10 C/kg
  • C2.94×10 C/kg
  • D2.94×10 C/kg
  • E8.50×10 C/kg

Q14:

A particle with a mass of 1,870/𝑐MeV is observed in a bubble chamber. The magnetic field inside the bubble chamber is uniform and has a strength of 0.340 T. The particle moves along a circular path with a radius of 31.3 cm at a speed of 5.1×10 m/s. What is the magnitude of the relative charge of the particle?

Q15:

The diagram shows a charged particle moving through a uniform magnetic field. The particle moves along a circular path.

Which of 𝐾, 𝐿, 𝑀, and 𝑁 shows the direction of the instantaneous velocity of the charged particle?

  • A𝑀
  • B𝐿
  • C𝐾
  • D𝑁

Q16:

A particle moves through a uniform magnetic field of strength 0.15 T. The particle moves in a straight line at a speed of 250 km/s. What is the relative charge of the particle?

Q17:

Which of the following is the correct formula for the force experienced by a particle with electric charge 𝑞 moving through a uniform magnetic field of strength 𝐵 at a speed 𝑣?

  • A𝐹=𝐵𝑣𝑞
  • B𝐹=𝐵𝑞𝑣
  • C𝐹=𝐵𝑞𝑣
  • D𝐹=𝐵𝑞𝑣
  • E𝐹=𝑞𝑣𝐵

Q18:

A charged particle moving in a magnetic field experiences a force in a direction the direction of the instantaneous velocity of the particle.

  • Aparallel to
  • Bequal to
  • Cperpendicular to
  • Din the opposite direction to

Q19:

What is 3.57×10 kg in eV/𝑐? Give your answer to 3 significant figures.

Q20:

A charged particle 𝑃 passes through a uniform magnetic field in a bubble chamber. It decays to particle 𝑅, which is also a charged particle, and a number of neutral particles, which cannot be seen in the bubble chamber.

If particle 𝑅 initially has the same speed as particle 𝑃, which particle has the greatest charge-to-mass ratio?

  • A𝑃
  • B𝑅

Q21:

The diagram shows the paths of two particles in a uniform magnetic field in a bubble chamber.

Both particles have the same initial velocity. If particle P is an electron, what is particle R?

  • AA muon
  • BA neutron
  • CA positron
  • DA photon
  • EA meson

Q22:

The diagram shows the paths of two particles in a uniform magnetic field in a bubble chamber. Both particles have the same mass and initial velocity. If particle 𝑃 has an electric charge of +1𝑒, what is the electric charge of particle 𝑅?

  • A0
  • B+2𝑒
  • C1𝑒
  • D2𝑒
  • E+1𝑒

Q23:

The diagram shows the paths of two particles in a uniform magnetic field in a bubble chamber.

Particle 𝑃 has a charge of 1 and particle 𝑅 has a charge of +1. Both particles have the same initial speed. Which particle has the greater mass?

  • ABoth have equal masses.
  • B𝑅
  • C𝑃

Q24:

The table shows the charge-to-mass ratio of three mesons.

Particle𝜋Κ𝐷
Charge-to-Mass Ratio (C/kg)6.43×101.82×104.80×10

A particle moves through a uniform magnetic field of strength 0.01 T along a circular path with a radius of 0.625 m at a speed of 300 km/s. Which of the particles listed in the table could be that particle?

  • A𝐷
  • BΚ
  • C𝜋

Q25:

A pion is observed in a bubble chamber. The magnetic field inside the bubble chamber is uniform and has a strength of 0.330 T. The pion moves along a circular path with a radius of 1.98 cm at a speed of 4.20×10 m/s. What is the mass of the pion? A pion has a relative electric charge of +1. Give your answer in mega-electron volts per speed of light squared to 3 significant figures.

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