MYTUTOR SUBJECT ANSWERS

310 views

What is the De Broglie wavelength of an electron given it has a kinetic energy of 1 eV? You are given the mass of an electron is 9.11x10^-31 kg and Planck's constant is 6.63x10^-34

The De Broglie wavelength equation is as follows:

λ=h/p

We know the value of Planck's constant h and so to calculate the wavelength all we need is the momentum, which is equal to mv.

The kinetic energy is given as 1 eV. Remember 1 eV is equal to 1.6 x 10-19 Joules. Using the equation for kinetic energy and the given mass of the electron we can determine the velocity of the electron as follows:

K.E = 0.5*m*v2

Which can be rearranged to be in terms of velocity v:

v = (2*K.E*m)0.5

By substituting in 1.6 x 10-19 for K.E and 9.11 x 10-31 for m we get v = 5.93 x 105 ms-1 (remember to keep the full non-rounded value in your calculator!)

Then using the initial equation for the wavelength and remembering p = mv, we can substitute in our values for h, m and v as follows:

λ = 6.33 x 10-34 / (9.11 x 10-31 x 5.93 x 105)  

λ = 1.17 x 10-9 m

David  M. A Level Physics tutor, GCSE Physics tutor, A Level Maths tu...

10 months ago

Answered by David , an A Level Physics tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

57 SUBJECT SPECIALISTS

£20 /hr

Zaid A.

Degree: Medicine (Bachelors) - University College London University

Subjects offered: Physics, Science+ 6 more

Physics
Science
Maths
Chemistry
Biology
.BMAT (BioMedical Admissions)
-Personal Statements-
-Medical School Preparation-

“My approach to tutoring is based on you and your needs. Having taught students from the ages of 7 to 18 of varying abilities, I can confidently adapt my teaching style to accommodate for your needs helping you to reach your goals. Hav...”

£22 /hr

Cordelia W.

Degree: Mathematical Science (Masters) - Durham University

Subjects offered: Physics, Maths+ 1 more

Physics
Maths
Further Mathematics

“I LOVE maths and believe I can pass on my love of the subject. I have been teaching maths and physics for years. I taught myself maths and physics, I helped my friends understand both subjects, I went on toteach a whole secondary scho...”

£20 /hr

Ben A.

Degree: Medicine (Bachelors) - University College London University

Subjects offered: Physics, Maths+ 6 more

Physics
Maths
Chemistry
Biology
.UKCAT.
.BMAT (BioMedical Admissions)
-Personal Statements-
-Medical School Preparation-

“Hello,I am a first year medical student at University College London, When I was in sixth form, I helped tutor the younger years and I always enjoyed it, so I decided to keep it on in my university years.My subjects are the three m...”

About the author

David M.

Currently unavailable: until 25/11/2016

Degree: Physics (Masters) - Warwick University

Subjects offered: Physics, Maths+ 2 more

Physics
Maths
Chemistry
.PAT.

“Background I am a second year physics student studying at the University of Warwick. I am passionate about helping people learn and allowing them to attain thehigh grades which they deserve. My love of science and mathematics will com...”

MyTutor guarantee

You may also like...

Posts by David

How do I show two lines are skew?

If the highest frequency a song is 10 kHz and it is encoded at 16 bits per sample what is the minimum number of bytes needed to encode the 3 minute song?

What is the De Broglie wavelength of an electron given it has a kinetic energy of 1 eV? You are given the mass of an electron is 9.11x10^-31 kg and Planck's constant is 6.63x10^-34

Other A Level Physics questions

How does a thermal nuclear reactor work?

When red light is shone on a metal, regardless of the intensity of this light, no current will flow. However if blue light is shone on this metal a current will flow. Why does this occur?

The tip of each prong of a tuning fork emitting a note of 320Hz vibrates in SHM with an amplitude of 0.50mm. What is the speed of each tip when its displacement is zero?

What is meant by the binding energy of a nucleus?

View A Level Physics tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok