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Home » Soit la largeur \( w \), alors la longueur est \( 3w \). - High Altitude Science

Soit la largeur \( w \), alors la longueur est \( 3w \). - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 For $ n=3 $: $ E_3 = -13.6 / 3^2 = -13.6 / 9 \approx -1.511 $ eV.

📌 The energy difference is $ \Delta E = E_2 - E_3 = -3.4 - (-1.511) = -3.4 + 1.511 = -1.889 $ eV.

📌 The magnitude of the energy difference is 1.889 eV.

📌 A science communicator explains radioactive decay using a sample with a half-life of 8 years. If the initial mass is 200 grams, how much remains after 24 years?

📌 Number of half-lives: $ 24 / 8 = 3 $.

📌 Remaining mass = $ 200 \times (1/2)^3 = 200 \times 1/8 = 25 $ grams.

📌 A seismologist analyzes wave velocities through layers of Earth, finding that P-wave speed increases linearly with depth. At 10 km depth, speed is 6 km/s; at 30 km, it’s 7.5 km/s. What is the speed at 22 km?

📌 The rate of increase is $ (7.5 - 6) / (30 - 10) = 1.5 / 20 = 0.075 $ km/s per km.

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