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.
ScanSolve AI Answer
Step 1: Identify the given values. The mass of the electron is m = 9.1 × 10^-31 kg. The velocity of the electron is v = 4.2 × 10 ms^-1 = 42 ms^-1. Planck's constant is h = 6.6 × 10^-34 Js. Step 2: Apply the de Broglie wavelength formula. The de Broglie wavelength () is given by the formula: = (h)/(mv) Step 3: Substitute the values into the formula and calculate the wavelength. = 6.6 × 10^-34 Js(9.1 × 10^-31 kg) × (42 ms^-1) = 6.6 × 10^-34 Js382.2 × 10^-31 kg · ms^-1 = 6.6 × 10^-343.822 × 10^-29 m ≈ 1.7268 × 10^-5 m Step 4: Round the answer to an appropriate number of significant figures. The given values have two significant figures (9.1, 4.2, 6.6). ≈ 1.7 × 10^-5 m The wavelength is 1.7 × 10^-5 m. What's next?