Question
How many hertz are in a yellow light with a frequency of \( 5.2 \times 10^{8} \mathrm{MHz} \) ? Give your answer in proper scientific notation. \[ [?] \times 10^{[?]} \mathrm{Hz} \] Enter the coefficient in the green box and the exponent in the yellow box.
Ask by John Rojas. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The frequency in hertz is \( 5.2 \times 10^{14} \mathrm{Hz} \).
- **Coefficient (green box):** `5.2`
- **Exponent (yellow box):** `14`
Solution
The frequency in hertz is:
\[ 5.2 \times 10^{14} \mathrm{Hz} \]
- **Coefficient (green box):** `5.2`
- **Exponent (yellow box):** `14`
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The Deep Dive
To convert from MHz to Hz, we need to remember that \( 1 \mathrm{MHz} = 10^{6} \mathrm{Hz} \). Therefore, we can calculate the frequency in Hz as follows: \[ 5.2 \times 10^{8} \mathrm{MHz} = 5.2 \times 10^{8} \times 10^{6} \mathrm{Hz} = 5.2 \times 10^{14} \mathrm{Hz} \] In proper scientific notation, the answer is: \[ 5.2 \times 10^{14} \mathrm{Hz} \] So the answer is: Coefficient: 5.2 Exponent: 14