# physics

posted by .

Two species of singly charged positive ions of masses 20x10^-27 kg and 23.4x10^-27 kg enter a magnetic field at the same location with a speed of 1x10^5 m/s. If the strength of the field is .2 T, and they move perpendicularly to the field, find their distance of separation after they complete one half of their circular path. (answer: 2.12 cm)

I am stump. How do I solve this problem with what I am given? Thanks!

• physics -

After entering the magnetic field, the two particles move in circles with different radii, R1 and R2. After each has moved 1/2 orbit, their paths will be separated by 2 (R1 - R2).

Use the relationship between R and B, e, m and V.

e V B = m V^2/R

R = m V/(e B)
R1 = 0.0625 m = 6.25 cm
R2 = 0.0732 m = 7.32 cm
2 (R2 - R1) = 2.14 cm

The particle in the smaller circular track will get to the half-circle position first, so they will not be quite side by side.

## Similar Questions

1. ### physics - speed of electron in magnetic field

A beam of electron is accelerated by a potential difference of 2.5okV. The electrons are then allowed to pass into a magnetic field of strength 10.0mT. As the electrons enter the field, the direction of the velocity is at right angles …
2. ### physics

The solar wind is a thin, hot gas given off by the sun. Charged particles in this gas enter the magnetic field of the earth and can experience a magnetic force. Suppose a charged particle traveling with a speed of 9.80 x 10^6 m/s encounters …
3. ### physics 30

An alpha particle moving at a speed of 5.20x10^4 m/s enters a perpendicular magnetic field with a strength of 3.0 mT. The magnitude of the acceleration of the particle as it enters the magnetic field will be a.bcx10^d m/s^2 ?
4. ### Physics

Singly charged positive ions are kept on a circular orbit in a cyclotron. The magnetic field inside the cyclotron is 0.947 T. The mass of the ions is 3.01×10-26 kg, and speed of the ions is 3.45 percent of the speed of the light. …
5. ### Physics

A mass spectrometer is used to examine the isotopes of uranium. Ions emerge from the velocity selector at a speed of 3.00 x 10^5 m/s and enter a uniform magnetic field of 0.600 T directed perpendicularly to the velocity of the ions. …
6. ### Physics

A singly charged positive ion has a mass of 2.74 10-26 kg. After being accelerated through a potential difference of 268 V, the ion enters a magnetic field of 0.450 T, in a direction perpendicular to the field. Calculate the radius …
7. ### physics

In earlier learning sequences we described how a static magnetic field cannot change the speed (and therefore kinetic energy) of a free charged particle. A changing magnetic field can, and this is one way particle beams are accelerated. …
8. ### Physics

Please explain to me how to do this question!!!!!!! A beam consists of singly ionised neon-20 atoms all travelling at the same speed, 3*10^5 m/s, through a vacuum. As the beam passes through the magnetic field it follows a circular …
9. ### physics

Consider a mass spectrometer like the one shown in the figure. A beam of singly charged positive ions is accelerated from an ion source and injected into a velocity selector with an electric field of E=2700V/m) and magnetic field of …
10. ### Physics

Two charged particles have equal mass and carry charges of 2 nC and 3 nC respectively. They enter a magnetic field of strength 2 mT at the same velocity. Assuming that both particles exit the field parallel to each other and perpendicular …

More Similar Questions