A charged particle is projected in a uniform magnetic field making an angle of 30o with the field, and radius of its trajectory is found to be 50 cm. When the same particle is projected in the same magnetic field making an angle of 60o with the field, what will be the radius of the trajectory?

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answer is 3.

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Detailed Solution

r=Radius of helical path =Vsin⁡θω=mVsin⁡θQB∴ r∝sin⁡θ⇒r2r1=sin⁡θ2sin⁡θ1⇒r250=sin⁡60osin⁡30o∴ r2=50×3212cm=503 cm

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