An alpha-particle (m = 6.64 × 10−27 kg, q = 3.2 × 10−19 C) travels in a circular path of radius 25 cm in a uniform magnetic field of magnitude 1.5 T. What is the speed of the particle?

The speed of the particle is .

Explanation:

Given:

Mass of the alpha-particle (m) = 6.64 × 10⁻²⁷ kg

Charge of the particle (q) = 3.2 × 10⁻¹⁹ C

Magnitude of magnetic field (B) = 1.5 T

Radius of the circular path (r) = 25 cm = 0.25 m [1 cm = 0.01 m]

Speed of the particle (v) = ?

We know that, when a charged particle enters a uniform magnetic field, the path traced by the charged particle is circular and the radius of the circular path is given by the formula:

Expressing the above formula in terms of 'v', we get:

Now, plug in the values given and solve for 'v'. This gives,

Therefore, the speed of the particle is .

answer; (arch); good luck

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