Let's address each part of the question step by step.
Question Two
The period, \(\( T \)\), of a fen is recorded to be 0.015 seconds.
### Part (a)
Express the period in standard form correct to 1 significant figure.
To express the period in standard form with one significant figure:
1. Identify the significant figure in the given value, which is 0.015.
2. The first significant figure in 0.015 is 1. When expressing numbers in standard form, the significant figure is adjusted to a value between 1 and 10, multiplied by a power of 10.
3. \(\( 0.015 \)\) can be expressed in scientific notation as:
\(\[
T = 1.5 \times 10^{-2} \text{ seconds}
\]\)
4. Round this to 1 significant figure:
\(\[
1.5 \times 10^{-2} \approx 1.5 \times 10^{-2}
\]\)
Thus, the period in standard form correct to 1 significant figure is \(\( 1.5 \times 10^{-2} \)\) seconds.
### Part (b)
Determine the actual period of the fen.
The actual period provided is \(\( 0.015 \)\) seconds.
1. No further adjustment or calculation is necessary for this part because the recorded period itself is the actual period.
Thus, the actual period of the fen is \(\( 0.015 \)\) seconds.
### Summary
- Part (a): The period in standard form with 1 significant figure is \(\( 1.5 \times 10^{-2} \)\) seconds.
- Part (b): The actual period of the fen is \(\( 0.015 \)\) seconds.
