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  The magnetic field at point P, due to the current in the very long wire, varies with distance R according to A)  R<sup>2</sup>. B)  R<sup>-3</sup>. C)  R<sup>-2</sup>. D)  R<sup>3</sup>. E)  R<sup>-1</sup>.<sup> </sup> The magnetic field at point P, due to the current in the very long wire, varies with distance R according to


A) R2.
B) R-3.
C) R-2.
D) R3.
E) R-1.

F) None of the above
G) B) and D)

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The radius of curvature of the path of a charged particle moving perpendicular to a magnetic field is given by


A) qE/m.
B) Bm/qv.
C) Bv/qm.
D) mv/qB.
E) Bq/mv.

F) A) and B)
G) A) and C)

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In a mass spectrometer, ions of nickel with mass 9.62 × 10-26 kg and charge +2e are accelerated through a potential difference of X volts and then deflected in a magnetic field of 0.15 T. If the radius of curvature of the ions is 0.55 m, then calculate the value of the potential difference X.


A) 5.7 kV
B) 274 kV
C) 137 kV
D) 11.3 kV
E) None of the above.

F) A) and E)
G) A) and D)

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A circular, 20-turn coil of radius 5.0 cm is oriented in such a way that its axis makes a 30º angle with a uniform magnetic field of 0.15 T. What is the torque on the coil when it carries a current of 2.5 A?


A) 1.5 × 10-3 N · m
B) 9.4 × 10-3 N · m
C) 2.9 × 10-2 N · m
D) 5.1 × 10-2 N · m
E) 0.59 N · m

F) A) and B)
G) None of the above

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In a mass spectrometer, chlorine ions of mass 35u and charge +5e are emitted from a source and accelerated through a potential difference of 250 kV. They then enter a region with a magnetic field, which is perpendicular to their original direction of motion. The chlorine ions exit the spectrometer after being bent along a path with a radius of curvature 3.5 m. What is the value of the magnetic field u = 1.66 × 10-27 kg, e = 1.6 × 10-19 C) ?


A) 3.9 × 10-2 T
B) 2.5 × 10-2 T
C) 3.1 × 10-2 T
D) 5.4 × 10-2 T
E) None of the above.

F) C) and D)
G) B) and E)

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