An electromagnetic wave is travelling along Z-axis is described by an electric field
`B_x = 4 xx 10^(-10) T sin ( omega t - kz)`
Find the maximum electric and magnetic force on an alpha particle moving along Y-axis with a speed of `5 xx 10^6 ` m/s. Charge on the electron is` 1.6 xx 10^(-19 ) C `.

Explanation

To solve the problem, we need to find the maximum electric and magnetic forces acting on an alpha particle moving along the Y-axis due to an electromagnetic wave traveling along the Z-axis.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- Magnetic field: \( B_x = 4 \times 10^{-10} \, T \sin(\omega t - kz) \)
- Speed of the alpha particle: \( v = 5 \times 10^6 \, m/s \)
- Charge of an alpha particle: \( Q_{\alpha} = 3.2 \times 10^{-19} \, C \) (since it has 2 protons and 2 neutrons, charge is double that of an electron).
...