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
Another day — let's solve it. To find the de Broglie wavelength, we use the formula: = (h)/(mv) where is the de Broglie wavelength, h is Planck's constant, m is the mass of the object, and v is its velocity. Step 1: Identify the given values and constants. • Mass of the stone, m = 1 mg • Velocity of the stone, v = 10 m/s • Planck's constant, h = 6.626 × 10^-34 J·s Step 2: Convert the mass to SI units (kilograms). m = 1 mg = 1 × 10^-3 g = 1 × 10^-6 kg Step 3: Substitute the values into the de Broglie wavelength formula. = 6.626 × 10^-34 J·s(1 × 10^-6 kg) × (10 m/s) Step 4: Calculate the denominator (mv). mv = (1 × 10^-6 kg) × (10 m/s) = 10 × 10^-6 kg·m/s = 1 × 10^-5 kg·m/s Step 5: Calculate the wavelength. = 6.626 × 10^-34 kg·m^2/s1 × 10^-5 kg·m/s = 6.626 × 10^-34 - (-5) m = 6.626 × 10^-29 m The de Broglie wavelength of the stone is: 6.626 × 10^-29 m Send me the next one 📸