A 10 g bullet having a charge of `4.00 muC` is fired at a speed of `270 ms^(-1)` in a horizontal direction. A vertical magnetic field of `500 muT` exists in the space. Find the deflection of the bullet due to the magnetic field as it travels through 100m. make appropriate approximations.

Explanation

To solve the problem of finding the deflection of a charged bullet traveling through a magnetic field, we can follow these steps:

### Step 1: Identify the given values
- Mass of the bullet, \( m = 10 \, \text{g} = 10 \times 10^{-3} \, \text{kg} \)
- Charge of the bullet, \( q = 4.00 \, \mu\text{C} = 4.00 \times 10^{-6} \, \text{C} \)
- Speed of the bullet, \( v = 270 \, \text{m/s} \)
- Magnetic field strength, \( B = 500 \, \mu\text{T} = 500 \times 10^{-6} \, \text{T} \)
- Distance traveled, \( s = 100 \, \text{m} \)
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