An alpha particle is travelling in a helical path after being projected into a magnetic field of `0.05` T. If the radius of helical path is 2 cm and pitch is 10 cm, find the components of the velocity of the alpha particle along and perpendicular to the magnetic field. Take the mass of alpha particle ` = 6.64 xx 10^(-27)` kg .

Explanation

To solve the problem, we need to find the components of the velocity of an alpha particle moving in a helical path in a magnetic field. The given parameters are:

- Magnetic field (B) = 0.05 T
- Radius of the helical path (r) = 2 cm = 0.02 m
- Pitch of the helical path (p) = 10 cm = 0.1 m
- Mass of the alpha particle (m) = \(6.64 \times 10^{-27}\) kg

### Step 1: Find the velocity component perpendicular to the magnetic field (v_perpendicular)
...