A uniform magnetic field of 30 mT exists in the +X direction. A particle of charge +ve and mass `1.67 xx 10^(-27)` kg is projected through the field in the + y direction with a speed of `4.8 xx 10^(6)` m/s
(a) find the force on the charged particle in magnitude and direction
(b) find the force if the particle were negatively charged.
(c ) Describe the nature of path followed by the particle in both the cases

Explanation

To solve the problem step by step, we will address each part of the question sequentially.

### Given Data:
- Magnetic field \( B = 30 \, \text{mT} = 30 \times 10^{-3} \, \text{T} \) (in the +X direction)
- Charge of the particle \( q = +1.6 \times 10^{-19} \, \text{C} \)
- Mass of the particle \( m = 1.67 \times 10^{-27} \, \text{kg} \)
- Velocity of the particle \( v = 4.8 \times 10^{6} \, \text{m/s} \) (in the +Y direction)

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