(1.b) Calculate your de Bröglie wavelength and momentum when you are driving a car at a speed of 104 km/hr (~65 mph), assuming your mass is 80 kg.
wavelength = h/mv
Remember to change v to m/s
To calculate your de Broglie wavelength and momentum, you need to use the de Broglie equation. This equation relates the wavelength of a particle to its momentum:
λ = h / p
Where:
λ is the de Broglie wavelength
h is the Planck's constant (h = 6.626 x 10^-34 J s)
p is the momentum of the particle
First, let's calculate the momentum (p):
Momentum (p) is given by the equation:
p = m * v
Where:
p is the momentum
m is the mass
v is the velocity
In this case, the mass (m) is 80 kg and the velocity (v) is 104 km/hr. However, we need to convert the velocity to m/s before calculating the momentum.
1. Convert the velocity from km/hr to m/s:
To convert km/hr to m/s, you need to divide the velocity by 3.6 (since 1 km/hr = 1/3.6 m/s):
v = 104 km/hr ÷ 3.6 = 28.9 m/s
Now that we have the velocity in m/s, we can calculate the momentum:
p = 80 kg * 28.9 m/s
Next, we will use the calculated momentum (p) to find the de Broglie wavelength (λ):
λ = h / p
Finally, plug in the value of Planck's constant (h) and the momentum (p) into the equation to find the de Broglie wavelength (λ).