Question
What is the frequency of a wave having a period equal to 18 seconds?
A.
6.6 × 10-2 hertz
B.
5.5 × 10-2 hertz
C.
3.3 × 10-2 hertz
D.
1.8 × 10-2 hertz
E.
8.0 × 10-3 hertz
A.
6.6 × 10-2 hertz
B.
5.5 × 10-2 hertz
C.
3.3 × 10-2 hertz
D.
1.8 × 10-2 hertz
E.
8.0 × 10-3 hertz
Answers
GPT-4o mini
The frequency \( f \) of a wave is the reciprocal of its period \( T \), which can be expressed with the following formula:
\[
f = \frac{1}{T}
\]
Given that the period \( T = 18 \) seconds, we can calculate the frequency:
\[
f = \frac{1}{18 \text{ seconds}} \approx 0.0556 \text{ hertz}
\]
Now, we can convert this to scientific notation:
\[
0.0556 \text{ hertz} = 5.56 \times 10^{-2} \text{ hertz}
\]
The option that is closest to this value is:
**B. \( 5.5 \times 10^{-2} \text{ hertz} \)**
\[
f = \frac{1}{T}
\]
Given that the period \( T = 18 \) seconds, we can calculate the frequency:
\[
f = \frac{1}{18 \text{ seconds}} \approx 0.0556 \text{ hertz}
\]
Now, we can convert this to scientific notation:
\[
0.0556 \text{ hertz} = 5.56 \times 10^{-2} \text{ hertz}
\]
The option that is closest to this value is:
**B. \( 5.5 \times 10^{-2} \text{ hertz} \)**