Given data:
The number of oscillations of the particle in 2 seconds is 50.
Solution:
The frequency is defined as the number of oscillations of the particle in one second.
Thus, the frequency of the oscillation of particle is,
[tex]f=\frac{n}{t}[/tex]where n is the number of oscillations, and t is the time,
Substituting the known values,
[tex]\begin{gathered} f=\frac{50}{2} \\ f=25\text{ Hz} \end{gathered}[/tex]Thus, the frequency of oscillation is 25 hertz.