Final answer:
Calculate the de Broglie wavelength of a bullet by first converting its velocity to meters per second, mass to kilograms, and then apply the de Broglie equation with Planck's constant to get the wavelength.
Step-by-step explanation:
The question involves calculating the de Broglie wavelength of a rifle bullet with a known mass and velocity, which is an application of quantum mechanics in physics. To find the de Broglie wavelength (λ) of the bullet, we first need to convert the bullet's speed from miles per hour (mph) to meters per second (m/s).
The given speed is 1769 mph, which can be converted to meters per second by using the conversion factor 1 mph = 0.44704 m/s. Once we have the speed in the correct units, we can use the de Broglie equation λ = h/(mv), where 'h' is the Planck constant, 'm' is the mass of the bullet, and 'v' is its velocity.
The mass needs to be in kilograms for the units to be consistent, so we convert from grams to kilograms by dividing by 1000. Now, we can substitute the converted mass and velocity and the value of Planck's constant into the equation to find out the de Broglie wavelength.