Calculate the de-Broglie wavelength of an electron moving with a speed of 1/100 of the speed of light in vaccum and the ball of radius 5 mm and mass 3*10^-2 kg moving with a speed of 100 m/s

Dear Student,

Please find below the solution to the asked query:

The de-Broglie wavelength $\lambda$associated with matter can be given as

$\lambda =\frac{h}{mv}$
Where, h is Planck's constant, m is mass of the particle and v is the speed of particle.

Planck's constant h = 6.626 x 10 -34 J-s
Mass of electron  me = 9.109 x 10-31 kg
Electron is moving with

Thus, de- Broglie wavelength associated with electron can be calculated as
$\lambda =\frac{6.626×{10}^{-34}J.s}{\left(9.109×{10}^{-31}kg\right)\left(3×{10}^{6}m/s\right)}\phantom{\rule{0ex}{0ex}}\lambda =2.43×{10}^{-10}m\phantom{\rule{0ex}{0ex}}$
Similarly, de- Broglie wavelength associated with ball can be calculated as

Hope this information will clear your doubts about the topic.

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