The figure shows a mass spectrograph that is operated with deuterons, which have a charge of $+ e$ and a mass of $3.34 \times 10 ^ { - 27 } \mathrm {~kg}$. The deuterons emerge with negligible velocity from the source, which is grounded. The speed of the deuterons as they pass through the accelerator grid is $8.0 \times$ $10 ^ { 5 } \mathrm {~m} / \mathrm { s }$. A uniform magnetic field of magnitude $B = 0.20 \mathrm {~T}$, directed out of the plane, is present to the right of the grid and is perpendicular to the velocity of the deuterons. The deuterons make a circular orbit in the magnetic field. What is the radius of this orbit, and what is the initial direction of their deflection just as they enter the magnetic field? $\left( e = 1.60 \times 10 ^ { - 19 } \mathrm { C } \right)$

A) $71 \mathrm {~mm}$, upward
B) $69 \mathrm {~mm}$, downward
C) $62 \mathrm {~mm}$, upward
D) $62 \mathrm {~mm}$, downward
E) $84 \mathrm {~mm}$, downward

Question

The figure shows a mass spectrograph that is operated with deuterons, which have a charge of $+ e$ and a mass of $3.34 \times 10 ^ { - 27 } \mathrm {~kg}$. The deuterons emerge with negligible velocity from the source, which is grounded. The speed of the deuterons as they pass through the accelerator grid is $8.0 \times$ $10 ^ { 5 } \mathrm {~m} / \mathrm { s }$. A uniform magnetic field of magnitude $B = 0.20 \mathrm {~T}$, directed out of the plane, is present to the right of the grid and is perpendicular to the velocity of the deuterons. The deuterons make a circular orbit in the magnetic field. What is the radius of this orbit, and what is the initial direction of their deflection just as they enter the magnetic field? $\left( e = 1.60 \times 10 ^ { - 19 } \mathrm { C } \right)$

A) $71 \mathrm {~mm}$, upward 
B) $69 \mathrm {~mm}$, downward 
C) $62 \mathrm {~mm}$, upward 
D) $62 \mathrm {~mm}$, downward 
E) $84 \mathrm {~mm}$, downward

Quizplus · Accepted Answer

The Answer of The figure shows a mass spectrograph that is operated with deuterons, which have a charge of $+ e$ and a mass of $3.34 \times 10 ^ { - 27 } \mathrm {~kg}$. The deuterons emerge with negligible velocity from the source, which is grounded. The speed of the deuterons as they pass through the accelerator grid is $8.0 \times$ $10 ^ { 5 } \mathrm {~m} / \mathrm { s }$. A uniform magnetic field of magnitude $B = 0.20 \mathrm {~T}$, directed out of the plane, is present to the right of the grid and is perpendicular to the velocity of the deuterons. The deuterons make a circular orbit in the magnetic field. What is the radius of this orbit, and what is the initial direction of their deflection just as they enter the magnetic field? $\left( e = 1.60 \times 10 ^ { - 19 } \mathrm { C } \right)$

A) $71 \mathrm {~mm}$, upward 
B) $69 \mathrm {~mm}$, downward 
C) $62 \mathrm {~mm}$, upward 
D) $62 \mathrm {~mm}$, downward 
E) $84 \mathrm {~mm}$, downward

The Figure Shows a Mass Spectrograph That Is Operated with Deuterons