Email
logo

Ask Questions, Get Answers

X
 
Questions  >>  SAT  >>  Chemistry  >>  Atomic Structure
Answer
Comment
Share
Q)

Calculate the Broglie wavelength of an electron moving with 1% of the speed of light ?

$\begin{array}{1 1} (a)\;2.43 \times 10^{-10}\;m \\(b)\;3.43 \times 10^{-10}\;m \\ (c)\;2.43 \times 10^{-11}\;m \\ (d)\;2.43 \times 10^{-12}\;m \end{array} $

1 Answer

Comment
A)
Solution :
According to be Brogile equation $\lambda= \large\frac{h}{mv}$
Mass of electron $=9.1 \times 10^{-31}\;kg$
Planck's constant $=6.626 \times 10^{-34}\;kgm^2s^{-1}$
Velocity of electron =1 % of speed of light
$\qquad= 3.0 \times 10^8 \times 0.01=3 \times 10^{6}\;ms^{-1}$
wave length of electron $(\lambda)= \large\frac{h}{m}$
$\qquad= \large\frac{(6.626 \times 10^{-34}\;kg m^2s^{-1})}{(9.1 \times 10^{-31}\;kg) \times (3 \times 10^6 ms^{-1})}$
$\qquad= 2.43 \times 10^{-10}\;m$
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
...