Answer:[tex]\lambda =2.1\times 10^{-38} m[/tex]
Explanation:
Given
weight of car[tex]=2200 Pounds\approx 997.90 kg[/tex]
Velocity of car[tex]=140 mph\approx 62.58 m/s[/tex]
Energy conservation
[tex]\frac{mv^2}{2}=h\nu [/tex]
where h=planck constant
[tex]\nu =\frac{mv^2}{2h}[/tex]
[tex]\nu =\frac{997.90\times 62.58^2}{2\times 6.626\times 10^{-34}}[/tex]
[tex]\nu =294901.3 \times 10^{-34} s^{-1}[/tex]
Now wavelength
[tex]\lambda =\frac{v}{\nu }[/tex]
[tex]\lambda =\frac{62.58}{294901.3 \times 10^{-34}}[/tex]
[tex]\lambda =2.1\times 10^{-38} m[/tex]
We do not use the wave mechanics because the size of the particle and wavelength are not comparable.
