If you decrease the frequency of a vibrating object to one -fourth, its period becomes quadrupled. Option B is correct.
The formula for calculating the frequency of a vibrating string is expressed as:
[tex]f=\frac{1}{T}[/tex]
If the frequency is decreased to one-fourth, the new frequency will be:
[tex]0.75f= \frac{1}{T_2}[/tex]
T2 is the new period
Divide both expressions
[tex]\frac{0.25f}{f} = \frac{1/T_2}{1/T} \\0.25 =\frac{T}{T_2}\\T= 0.25T_2\\T_2 = 4T[/tex]
This shows that if you decrease the frequency of a vibrating object to one fourth, its period becomes quadrupled
Learn more here: https://brainly.com/question/3057448
