The De Broglie wavelength of electrons used in an experiment utilizing an electron microscope is 96.00pm. what is the speed of one of these electrons?
(De Broglie's equation is wavelength=6.63E-34 / (mass*velocity))
So plug in the numbers and solve for velocity. The mass of an electron is 9.11E-31 kg.
To find the speed of an electron, we can rearrange De Broglie's equation to solve for velocity:
wavelength = (Planck's constant)/(mass x velocity)
Given that the De Broglie wavelength (wavelength) is 96.00 pm (picometers), which is equal to 96.00 x 10^(-12) meters, and the mass (mass) of an electron is approximately 9.11 x 10^(-31) kilograms, we can now solve for the velocity.
Let's substitute the values into the equation:
96.00 x 10^(-12) meters = (6.63 x 10^(-34) J s) / (9.11 x 10^(-31) kg x velocity)
Now, rearrange the equation to solve for velocity:
velocity = (6.63 x 10^(-34) J s) / (9.11 x 10^(-31) kg x 96.00 x 10^(-12) meters)
Calculate the velocity:
velocity ≈ (6.63 x 10^(-34) J s) / (9.11 x 10^(-31) kg x 96.00 x 10^(-12) meters)
≈ 7.28 x 10^6 m/s
Therefore, the speed of one of these electrons is approximately 7.28 x 10^6 m/s.