A proton is projected from the origin making an angle of 60° with the x-axis. A magnetic field B→=2i^ tesla exists in that region of space. The proton passes through the x-axis for the first time at a distance of 50 cm from the origin. When an α – particle is projected from the origin with same speed making an angle of 30° with the x-axis in the same magnetic field, it passes though the x-axis at a distance ‘d’ from the origin. Then the value of ‘d’ is

# A proton is projected from the origin making an angle of 60° with the x-axis. A magnetic field $\stackrel{\to }{\mathrm{B}}=2\stackrel{^}{\mathrm{i}}$ tesla exists in that region of space. The proton passes through the x-axis for the first time at a distance of 50 cm from the origin. When an α - particle is projected from the origin with same speed making an angle of 30° with the x-axis in the same magnetic field, it passes though the x-axis at a distance ‘d’ from the origin. Then the value of ‘d’ is

1. A

2. B

3. C

4. D

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Trajectory of the proton or α - particle is helix whose pitch is given by $\mathrm{p}=\frac{2\mathrm{\pi mVcos\alpha }}{\mathrm{QB}}$