the wavelength(nm)of a ball bearing with a mass of 10g, and a velocity of 10cm/s is what?
To find the wavelength of a moving object such as a ball bearing, we can use the concept of de Broglie wavelength. According to de Broglie's equation, the wavelength of a moving particle is given by:
λ = h / p
where λ is the wavelength, h is the Planck's constant (6.626 x 10^-34 J·s), and p is the momentum of the object.
To calculate the momentum (p) of the ball bearing, we can use the equation:
p = m * v
where p is the momentum, m is the mass, and v is the velocity of the object.
Let's substitute the given values into the equations:
Mass (m) = 10g = 0.01 kg (since 1 g = 0.001 kg)
Velocity (v) = 10 cm/s = 0.1 m/s (since 1 cm = 0.01 m)
Planck's Constant (h) = 6.626 x 10^-34 J·s
Now, we can calculate the momentum:
p = m * v
p = 0.01 kg * 0.1 m/s
p = 0.001 kg·m/s
Finally, we can calculate the wavelength (λ) using the momentum we obtained:
λ = h / p
λ = 6.626 x 10^-34 J·s / 0.001 kg·m/s
Calculating this value gives us the wavelength of the ball bearing.