# Problem: The de Broglie wavelength of a 455 kg car is found to be 5.43 × 10 –47 nm. Calculate the speed (m/s) of the car.a) 26.8 m/sb) 37.3 m/sc) 2.68 × 1019 m/sd) 3.73 × 107 m/se) 3.00 × 108 m/s

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###### FREE Expert Solution

We’re being asked to calculate the speed of a 455 kg car and a de Broglie wavelength of 5.43 × 10–47 nm.

Recall that the de Broglie wavelength (λ) can be calculated using:

$\overline{){\mathbf{\lambda }}{\mathbf{=}}\frac{\mathbf{h}}{\mathbf{mv}}}$

where:

h = Planck's constant (6.626 × 10–34 kg • m2/s)

m = mass (in kg)

v = velocity (in m/s)

93% (73 ratings)
###### Problem Details

The de Broglie wavelength of a 455 kg car is found to be 5.43 × 10 –47 nm. Calculate the speed (m/s) of the car.

a) 26.8 m/s

b) 37.3 m/s

c) 2.68 × 1019 m/s

d) 3.73 × 107 m/s

e) 3.00 × 108 m/s