Calculate the velocity of a pickup truck with a de Broglie wavelength of 1.27 × 10^-38 m and a mass of 2347 kg. A)88 km h^-1 B)62.1 km h^-1 C)94 km h^-1 D)79.9 km h^-1 E)106 km h^-1

Question

Quizplus · Accepted Answer

The de Broglie wavelength is given by the formula λ = h/mv, where h is Planck's constant, m is the mass of the object, v is its velocity.

Rearranging this formula to solve for v, we get:

v = h/(mλ)

Plugging in the values we have:

v = (6.626 x 10^-34 J s) / (2347 kg x 1.27 x 10^-38 m)

v = 2.80 x 10^3 m/s

Finally, converting this to km/h:

v = (2.80 x 10^3 m/s) x (3600 s/h) / (1000 m/km)

v ≈ 10,079 km/h ≈ 79.9 km/h

Therefore, the best choice is D.

Calculate the Velocity of a Pickup Truck with a De