Answer:
3n seconds
Option D is correct
Explanation:
Note that:
Period = 1/Frequency
The frequency changes from 3.0Hz to 1.0Hz
The initial frequency, F₁ = 3.0 Hz
The initial period, T₁ = 1/F₁
T₁ = 1/3 seconds
Since the intial frequency is n seconds
n = 1/3 seconds
The final frequency, F₂ = 1.0 Hz
The final period, T₂ = 1/F₂
T₂ = 1/1
T₂ = 1 second
Therefore:
[tex]\begin{gathered} \frac{T_2}{n}=\frac{1}{\frac{1}{3}} \\ \frac{T_2}{n}=3 \\ T_2=3n \end{gathered}[/tex]
The period of the device will change from n seconds to 3n seconds
