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.

  • A 4 . 5 3 × 1 0 kg
  • B 9 . 4 5 × 1 0 kg
  • C 2 . 4 3 × 1 0 kg
  • D 4 . 1 0 × 1 0 kg
  • E 4 . 1 0 × 1 0 kg

Q2:

What is 2 . 7 1 × 1 0 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 . 1 1 × 1 0 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.

  • A 2 . 6 7 × 1 0 kg
  • B 1 . 1 9 × 1 0 kg
  • C 6 . 3 7 × 1 0 kg
  • D 3 . 7 5 × 1 0 kg
  • E 9 . 6 7 × 1 0 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 . 1 0 × 1 0 m/s. What is the radius of the circular path that it follows? Take the muon to have a mass of 1 . 8 8 × 1 0 kg and a charge of 1 . 6 0 × 1 0 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 . 5 0 × 1 0 m/s follow a circular path with a radius of 10.0 cm? An electron has a charge of 1 . 6 0 × 1 0 C and a mass of 9 . 1 2 × 1 0 kg. Give your answer in tesla to 3 significant figures.

  • A 8 . 5 5 × 1 0 T
  • B 2 . 6 3 × 1 0 T
  • C 117 T
  • D 2 . 6 3 × 1 0 T
  • E 8 . 5 5 × 1 0 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 . 1 0 × 1 0 and its mass is 8 . 8 0 × 1 0 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.

  • A 3 . 2 0 × 1 0 C
  • B 3 . 1 3 × 1 0 C
  • C 1 . 6 0 × 1 0 C
  • D 6 . 2 4 × 1 0 C
  • E 1 . 2 6 × 1 0 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?

  • A 𝑀
  • B 𝐿
  • C 𝑁
  • D 𝐾

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 . 0 0 × 1 0 m/s and its charge is 1 . 6 0 × 1 0 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.

  • A 5 . 6 4 × 1 0 kg
  • B 2 . 4 9 × 1 0 kg
  • C 2 . 4 9 × 1 0 kg
  • D 2 . 4 9 × 1 0 kg
  • E 5 . 6 4 × 1 0 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 . 4 0 × 1 0 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.

  • A 8 . 5 0 × 1 0 C/kg
  • B 2 . 9 4 × 1 0 C/kg
  • C 3 . 4 0 × 1 0 C/kg
  • D 2 . 9 4 × 1 0 C/kg
  • E 1 . 1 8 × 1 0 C/kg

Q14:

A particle with a mass of 1 , 8 7 0 / 𝑐 M e V 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 × 1 0 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?

  • A 𝐿
  • B 𝑁
  • C 𝑀
  • D 𝐾

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 ?

  • A 𝐹 = 𝐵 𝑞 𝑣
  • B 𝐹 = 𝐵 𝑞 𝑣
  • C 𝐹 = 𝐵 𝑞 𝑣
  • D 𝐹 = 𝐵 𝑣 𝑞
  • E 𝐹 = 𝑞 𝑣 𝐵

Q18:

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

  • Aperpendicular to
  • Bequal to
  • Cin the opposite direction to
  • Dparallel to

Q19:

What is 3 . 5 7 × 1 0 kg in e V / 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?

  • A 𝑃
  • B 𝑅

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 neutron
  • BA positron
  • CA muon
  • 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 + 1 𝑒 , what is the electric charge of particle 𝑅 ?

  • A0
  • B 1 𝑒
  • C + 2 𝑒
  • D + 1 𝑒
  • E 2 𝑒

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?

  • A 𝑃
  • B 𝑅
  • CBoth have equal masses.

Q24:

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

Particle 𝜋 Κ 𝐷
Charge-to-Mass Ratio (C/kg) 6 . 4 3 × 1 0 1 . 8 2 × 1 0 4 . 8 0 × 1 0

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?

  • A Κ
  • B 𝜋
  • C 𝐷

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