Answer :
Step-by-step explanation:
To find the speed of the subatomic particle and express it in scientific notation, let's follow these steps:
Given:
- Distance traveled, \( d = 5 \times 10^5 \) cm
- Time taken, \( t = 8 \times 10^{-6} \) seconds
### (i) Calculate the speed in m/s
1. **Convert the distance from cm to meters:**
\[ d_{\text{meters}} = 5 \times 10^5 \times 10^{-2} \]
\[ d_{\text{meters}} = 5 \times 10^3 \text{ meters} \]
2. **Calculate the speed:**
\[ \text{Speed} = \frac{d_{\text{meters}}}{t} \]
\[ \text{Speed} = \frac{5 \times 10^3 \text{ meters}}{8 \times 10^{-6} \text{ seconds}} \]
3. **Simplify the speed calculation:**
\[ \text{Speed} = \frac{5 \times 10^3}{8 \times 10^{-6}} \]
\[ \text{Speed} = \frac{5 \times 10^3 \times 10^6}{8} \] (Convert seconds to microseconds for simplification)
delle
(i) Speed = Distance / Time = 5 × 105 cm / 8 × 10-6 seconds ≈ 6.25 × 109 cm/s
(ii) In scientific notation, the speed of the subatomic particle can be represented as 6.25 × 109 cm/s.