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Question

Two identical charged particles moving with the same speed enter a region of uniform magnetic field. If one of these enters normal to the field direction and the other enters along a direction at $$30^{o}$$ with the field, what would be the ratio of their angular frequencies.

Solution
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$$\omega=\dfrac{qB}{m}$$ which is independent of angle entrance with the magnetic field.
Ratio : $$\omega_{1} : \omega_{2}=1:1$$

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