Answer:
The equation gives the de Broglie wavelength of an object:
λ = h / p
Where λ is the de Broglie wavelength, h is Planck's constant (6.626 x 10^-34 J s), and p is the object's momentum.
The momentum of an object can be calculated using the equation:
p = m * v
Where m is the mass of the object and v is its velocity.
In this case, the mass of the object is 0.053 g, which is equivalent to 0.053 x 10^-3 kg. The velocity of the object is 0.16 m/s. So, the momentum of the object is:
p = (0.053 x 10^-3 kg) * (0.16 m/s) = 8.48 x 10^-6 kg m/s
Substituting this value of momentum and Planck's constant into the de Broglie wavelength equation, we get:
λ = (6.626 x 10^-34 J s) / (8.48 x 10^-6 kg m/s)
Simplifying, we get:
λ = 7.82 x 10^-28 m
Therefore, the de Broglie wavelength of a 0.053 g object moving at a speed of 0.16 m/s is 7.82 x 10^-28 m.
Step-by-step explanation: