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1. Pluto is [tex]5.91 \times 10^{12}[/tex] m from the Sun. How long (in hours) does sunlight take to reach Pluto?

2. You are listening to 98.5 WNUW while flying to your semester break vacation in Florida. The jet travels at 900 km/h. What change in frequency would happen during the flight south? (Hint: the radio frequency is 98.5 MHz).

3. What is the frequency of yellow light with a wavelength of 650 nm?

Answer :

Final answer:

Sunlight takes approximately 5.47 hours to reach Pluto. The change in radio frequency due to the Doppler effect while traveling at 900 km/h is negligible. The frequency of yellow light with a wavelength of 650 nm is approximately 462 THz.

Explanation:

1. Pluto is 5.91 x 10^12 m from the Sun. Knowing that light travels at a speed of 300,000 kilometers per second (or 3 x 10^8 meters per second), we can calculate the time it takes for light (or sunlight) to reach Pluto by dividing the distance by the speed of light. Doing this calculation gives us approximately 19685 seconds or about 5.47 hours.

2. When you're listening to 98.5 WNUW while flying at 900 km/h, you'll experience the Doppler effect, which causes a change in frequency. However, since you are moving at a relatively small speed compared to the speed of light (or radio waves), the change will be too small to notice.

3. To find the frequency of yellow light with a wavelength of 650 nanometers, we use the equation c=λν, where c is the speed of light (3 x 10^8 m/s), λ is the wavelength (converted to meters from nanometers), and ν is the frequency we're solving for. Plugging in these values and solving for ν gives us a frequency of approximately 4.62 x 10^14 Hz or 462 THz.

Learn more about Physics calculations here:

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