An Alpha Particle of Charge +2e and Mass 41 $\alpha$ /r_O = 1/1

question 99

Multiple Choice

An alpha particle of charge +2e and mass 41.66 × 10^-27) kg, and an ¹⁶O nucleus of charge +8e and mass 161.66 × 10^-27) kg have been accelerated from rest through the same electric potential. They are then injected into a uniform magnetic field B, where both move at right angles to the field. The ratio of the radius of the path of the alpha particle to the radius of the path of the nucleus ¹⁶O is

• A) r_\(\alpha\)/r_O = 1/1.
• B) r_\(\alpha\)/r_O = 1/4.
• C) r_\(\alpha\)/r_O = 1/8.
• D) r_\(\alpha\)/r_O = 1/2.
• E) None of these is correct.

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Definitions:

Inductance

The property of an electrical conductor by which a change in current in the conductor induces a voltage in both the conductor itself and in any nearby conductors by electromagnetic induction.

RLC Series Circuit

An electrical circuit consisting of a resistor (R), inductor (L), and capacitor (C) connected in a single line, forming a sequence of elements.

Power Factor

The ratio of the true power transmitted to a load to the apparent power in the circuit, indicating efficiency in electrical systems.

RLC Parallel Circuit

An electrical circuit consisting of a resistor (R), inductor (L), and capacitor (C) connected in parallel, affecting the circuit's impedance and frequency response.