Answer: 0.076 m
Explanation:
Magnetic force= centripetal force;
F(B) = F(c) --------------------------(1)
Bqv= mv^2/R---------------------(2)
Where B= magnetic field,q= charge, = mass, R= radius of the circular path.
Radius of the circular path,R= mv/qB.
Mass of oxygen-16 is 2.66e−26kg, and they are singly charged = 18/16(mass ratio= 18:16)
18/16 × (2.26 × 10^ -26 kg)
= 2.99 × 10^26 kg
∆d=2r(18)-2r(16)-----------------(3)
r(18) is the radius of mass of oxygen-18,
r(16) is the radius of mass of oxygen-16.
From the question, v= 3.7×10^6 m/s, q= 1.6×10^-9 C.
From equation (2) above we have;
R= MV/qB------------------------(4)
This equation (4) is used in solving for the distance between the two.
Solving;∆d=2r(18)-2r(16)
∆d = 2[m(18) - m(16)] v/ qB
M(18)-m(16) =(2.99-2.66)× 10^-26:
qB= 1.6×10^-19×2 = 3.2×10^-19
= (2.99-2.66)× 10^-26/ 3.2× 10^-19
= 0.076 m
