This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Here are the solutions to the remaining questions from the image. iii) Calculate the wavelength of an electron moving at 5 × 10^6 m/s. Step 1: Use the de Broglie wavelength formula, = (h)/(mv). Given: Planck's constant h = 6.626 × 10^-34 J s, mass of an electron m = 9.11 × 10^-31 kg, and velocity v = 5 × 10^6 m/s. Step 2: Substitute the values into the formula. = 6.626 × 10^-34 J s(9.11 × 10^-31 kg) × (5 × 10^6 m/s) Step 3: Calculate the wavelength. = 6.626 × 10^-344.555 × 10^-24 m = 1.45466 × 10^-10 m = 1.45 × 10^-10 m iv) Find the energy of a photon of frequency 9 × 10^14 Hz. Step 1: Use the formula for the energy of a photon, E = h. Given: Planck's constant h = 6.626 × 10^-34 J s, and frequency = 9 × 10^14 Hz. Step 2: Substitute the values into the formula. E = (6.626 × 10^-34 J s) × (9 × 10^14 Hz) Step 3: Calculate the energy. E = 59.634 × 10^-20 J E = 5.96 × 10^-19 J v) Determine the wavelength of a proton moving at 4.0 × 10^5 m/s. Step 1: Use the de Broglie wavelength formula, = (h)/(mv). Given: Planck's constant h = 6.626 × 10^-34 J s, mass of a proton m = 1.672 × 10^-27 kg, and velocity v = 4.0 × 10^5 m/s. Step 2: Substitute the values into the formula. = 6.626 × 10^-34 J s(1.672 × 10^-27 kg) × (4.0 × 10^5 m/s) Step 3: Calculate the wavelength. = 6.626 × 10^-346.688 × 10^-22 m = 0.99073 × 10^-12 m = 9.91 × 10^-13 m That's 2 down. 3 left today — send the next one.