Question

Question #b06b9

Answer 1

Period is multiplied by `4`.

Explanation:

Frequency and period are inversely proportional.

Mathematically, this is described as `f = frac(1)("T")`.

So, whatever is done to the frequency, the inverse will happen to the period.

In this case, the frequeuncy is quartered:

`Rightarrow frac(1)(4) cdot f = frac(1)(4) cdot frac(1)("T")`

`Rightarrow frac(f)(4) = frac(1)(4 " T")`

Solving for `4` `"T"`:

`therefore 4` `"T"` `= frac(4)(f)`

Therefore, the period is quadruple when the frequency is quartered.