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T-Mobile * 47% 11:16 PM webassign.net PROBLEM A charged particle enters the magn

ID: 777003 • Letter: T

Question

T-Mobile * 47% 11:16 PM webassign.net PROBLEM A charged particle enters the magnetic field ofa mass spectrometer at a speed of 1.79 106 m/s. It subsequently moves in a circular orbit with a radius of 16.0 cm in a uniform magnetic field of magnitude 0.350 T having a direction perpendicular to the particle's velocity. Find the particle's mass- to-charge ratio and use the table to identify it. STRATEGY After finding the mass-to-charge ratio, compare it with the values in the table, identifying the particle. wite the eycloren equation Seve is dwded by the dhr particle from the oartikles are The particle is tritium. REMARKS The mass spectrometer is an important tool in both chemistry and physics. Unknown chemicals can be heated and ionized, and the resulting particles passed through the mass QUESTION What happens to the momentum of a charged particle in a uniform magnetic field? (Select all that apply-) O The magnitude of the momentum increases. O The magnitude of the momentum decreases. O The magnitude of the momentum remains unchanged. O Whether the momentum increases or decreases in magnitude depends on the sign of the charge. OThe direction of the momentum changes. The direction of the momentum remains unchanged. Suppose a second charged particle enters the mass spectrometer at the same speed as the particle in the example. If it travels ina circle with radius 10.7 cm, find the mass-to-charge ratio and identify the particle from the table above. The particle is pins Se

Explanation / Answer

The magnetic force is always perpendicular to the directio of motion of the charged particle. So, the force never adds to the velocity, rather, keeps changing the direction of velocity. So, the direction of the momentum changes.

For this particle, r= 0.107m. So, m/q= rB/v= 0.107*0.35/ 1.79*10^6= 2.09*10^-8 kg/C, from the table this particle is deuterium.

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