Question

Two singly ionized atoms, each with charge +1.6 x 10-19 C, move out of a slit at point S as shown in the figure, and into a uniform magnetic field of 0.15 T. Each ion has a speed of 1.0 x 106 m/s. The mass of one ion is 1.67 x 10-27 kg, and the mass of the other ion is 5.61 x 10-27 kg. Both ions move in the magnetic field along the trajectories indicated, and hit the detector (indicated in the figure). Find the magnitude of the distance of separation between the two ions at the detector. detector d1 d2 S 6.6 m 3.3 m 1.7 m 0.66 m 0.33 m

          Two singly ionized atoms, each with charge +1.6 x 10-19 C, move out of a slit at point S as shown in the figure, and into a uniform magnetic field of 0.15 T. Each ion has a speed of 1.0 x 106 m/s. The mass of one ion is 1.67 x 10-27 kg, and the mass of the other ion is 5.61 x 10-27 kg. Both ions move in the magnetic field along the trajectories indicated, and hit the detector (indicated in the figure). Find the magnitude of the distance of separation between the two ions at the detector.
detector
d1
d2
S
6.6 m
3.3 m
1.7 m
0.66 m
0.33 m

Two singly ionized atoms, each with charge +1.6 x 10-19 C, move out of a slit at point S as shown in the figure, and into a uniform magnetic field of 0.15 T. Each ion has a speed of 1.0 x 106 m/s. The mass of one ion is 1.67 x 10-27 kg, and the mass of the other ion is 5.61 x 10-27 kg. Both ions move in the magnetic field along the trajectories indicated, and hit the detector (indicated in the figure). Find the magnitude of the distance of separation between the two ions at the detector.
detector
d1
d2
S
6.6 m
3.3 m
1.7 m
0.66 m
0.33 m

Added by Jennifer A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Nishant Kumar

12/14/2021

Step 1

In this case, the ions are moving perpendicular to the magnetic field, so sinθ = 1. Second, we know that this magnetic force is what causes the ions to move in a circular path. The centripetal force required to keep an object moving in a circle is given by F = Show more…

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Two singly ionized atoms, each with charge +1.6 x 10-19 C, move out of a slit at point S as shown in the figure, and into a uniform magnetic field of 0.15 T. Each ion has a speed of 1.0 x 106 m/s. The mass of one ion is 1.67 x 10-27 kg, and the mass of the other ion is 5.61 x 10-27 kg. Both ions move in the magnetic field along the trajectories indicated, and hit the detector (indicated in the figure). Find the magnitude of the distance of separation between the two ions at the detector. 6.6 m 3.3 m 1.7 m 0.66 m 0.33 m