Calculate the de Broglie wavelength of an electron moving at 40 m·s −1.

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

Step 1 : Determine what is required and how to approach the problemWe are required to calculate the de Broglie wavelength of an

electron given its speed. We can do this by using:

λ = h/mv

Step 2 : Determine what is givenWe are given:

• The velocity of the electron v = 40 m · s

^{−1}and we know:

• The mass of the electron me = 9,11 × 10

^{−31 }kg• Planck’s constant h = 6,63 × 10

^{−34 }J · sStep 3 : Calculate the de Broglie wavelengthλ = h/mv

=( 6,63 × 10

^{−34}J · s)/(9,11 × 10^{−31}kg)(40 m · s−1)= 1,82 × 10−5 m

= 0,0182 mm

Although the electron and cricket ball in the two previous examples are travelling at the same velocity the de Broglie wavelength of the electron is much larger than that of the cricket ball. This is because the wavelength is inversely proportional to the mass of the particle.