185k views
4 votes
What is the de Broglie wavelength of a Volkswagen (mass = 1000 kg) traveling at 30 m/s (67 mph)?

User YanMeng
by
7.1k points

1 Answer

5 votes

Final answer:

The de Broglie wavelength of the Volkswagen can be calculated using the equation λL = h / mv, where h is Planck's constant, m is the mass, and v is the velocity. By plugging in the values, we find that the de Broglie wavelength is 2.208 x 10^-37 meters.

Step-by-step explanation:

The de Broglie wavelength of an object is given by the equation:

λL = h / mv

where λL is the de Broglie wavelength, h is the Planck's constant (6.626 x 10^-34 J*s), m is the mass, and v is the velocity of the object.

To find the de Broglie wavelength of the Volkswagen, we need to convert the velocity from m/s to m/s, since the units of velocity should be in meters per second. Once that is done, we can substitute the values into the equation and calculate the wavelength.

λL = h / mv

Let's plug in the values:

λL = (6.626 x 10^-34 J*s) / (1000 kg x 30 m/s)

λL = 2.208 x 10^-37 meters

User Gdub
by
7.4k points