GATE PH 2025 PH Q59: Nuclear and Particle Physics

Cyclotrons are used to accelerate ions like deuterons (

) and

particles. Keeping the magnetic field same for both,

and

are extracted with energies 10 MeV and 20 MeV with extraction radii

and

, respectively. Taking the masses

and

, the value of

(in integer) is ______

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