Question

A proton, a deuteron, and an α-particle are accelerated from
rest through a potential difference, ∆V = 30 kV. They

enter a region containing a uniform magnetic field of strength B =
0.25 T. The particles move parallel to each other

and perpendicular to B~ .

(a) Compute the kinetic energy of each particle. Which is largest?
Which is smallest? By what factor?

(b) Compute the radius of each particle’s cyclotron orbit.

(c) Critical Thinking. Is this setup effective for distinguishing
all three particles from each other?

Explain why or why not.

Particle Charge Mass [kg]

proton +1e 1.67 · 10−27

deuteron +1e 3.34 · 10−27

α-particle +2e 6.64 · 10−27

Answer #1

A proton (mass mp), a deuteron
(m=2mp,Q=e), and an alpha
particle (m=4mp,Q=2e) are
accelerated by the same potential difference V and then enter a
uniform magnetic field B⃗ , where
they move in circular paths perpendicular to
B⃗ .
Determine the radius of the path for the deuteron in terms of
that for the proton.
Determine the radius of the path for the alpha particle in terms
of that for the proton.
Express your answers in terms of rp.

11.- A proton accelerated from rest by a potential difference
acquires a speed of 5000 m / s with which it enters a region in
which there is a uniform magnetic field of 0.5 T perpendicular to
the direction in which it moves the proton.
a. Make a diagram of the forces and trajectory of the proton.
b. Determine the radius of the circular trajectory that the proton
follows within this region.
c. Determine the time it takes to complete...

Calculate the speed of a proton that is accelerated through a
potential difference of 48 V to −8 V. The mass of the proton is mp
= 1.67 × 10−27 kg, and its charge is qp = 1.60 × 10−19 C. The
proton has an initial speed vi = 65 m/s.

An α-particle has a charge of +2e and a mass of 6.64 ×
10-27 kg. It is accelerated from rest through a
potential difference that has a value of 1.45 × 106 V
and then enters a uniform magnetic field whose magnitude is 1.75 T.
The α-particle moves perpendicular to the magnetic field at all
times. What is (a) the speed of the α-particle,
(b) the magnitude of the magnetic force on it, and
(c) the radius of its circular...

An α-particle has a charge of +2e and a mass of 6.64 × 10-27 kg.
It is accelerated from rest through a potential difference that has
a value of 1.71 × 106 V and then enters a uniform magnetic field
whose magnitude is 1.54 T. The α-particle moves perpendicular to
the magnetic field at all times. What is (a) the speed of the
α-particle, (b) the magnitude of the magnetic force on it, and (c)
the radius of its circular...

An electron, a proton, and an alpha particle are accelerated
through the same potential difference of 50V. What are the
resulting kinetic energy and speed of each?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 15 minutes ago

asked 16 minutes ago

asked 32 minutes ago

asked 49 minutes ago

asked 57 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago