An alpha particle of charge +2e and mass 4(1.66 * 10^-27) kg, and an ¹⁶O nucleus of charge +8e and mass 16(1.66 *10^-27) kg have been accelerated from rest through the same electric potential. They are then injected into a uniform magnetic field , where both move at right angles to the field. The ratio of the radius of the path of the alpha particle to the radius of the path of the nucleus ¹⁶O is A) r_$\alpha$/r_O = 1/1 B) r_$\alpha$/r_O = 1/4 C) r_$\alpha$/r_O = 1/8 D) r_$\alpha$/r_O = 1/2 E) None of these is correct.

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The Answer of An alpha particle of charge +2e and mass 4(1.66 * 10^-27) kg, and an ¹⁶O nucleus of charge +8e and mass 16(1.66 *10^-27) kg have been accelerated from rest through the same electric potential. They are then injected into a uniform magnetic field , where both move at right angles to the field. The ratio of the radius of the path of the alpha particle to the radius of the path of the nucleus ¹⁶O is A) r_$\alpha$/r_O = 1/1 B) r_$\alpha$/r_O = 1/4 C) r_$\alpha$/r_O = 1/8 D) r_$\alpha$/r_O = 1/2 E) None of these is correct.

An Alpha Particle of Charge +2e and Mass 4(1 α\alphaα /rO = 1/1 B) R

An Alpha Particle of Charge +2e and Mass 4(1 $\alpha$ /r_O = 1/1
B) R