Time taken by each ion to travel the semicircular path through the magnetic field is 34 X 10⁻²⁶s.
Explanation:
Given:
Charge of oxygen ion, q = -2
Magnetic Field, B = 0.12 T
Mass of O₂ , m= 2.6 X 10⁻²⁶ Kg
Time, T = ?
We know,
[tex]T = \frac{2\pi m}{qB}[/tex]
Therefore,
T = 2 X 3.14 X 2.6 X 10⁻²⁶/ 2 X 0.12
T = 68 X 10⁻²⁶s
For semicircular orbit, Time taken would be T/2
T ₓ = 68 X 10⁻²⁶/2 s
T ₓ = 34 X 10⁻²⁶s
Therefore, time taken by each ion to travel the semicircular path through the magnetic field is 34 X 10⁻²⁶s.
