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 λassociated with matter can be given as

λ=hmv
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 1100c=3×108 m/s100= 3×106 m/s
 

Thus, de- Broglie wavelength associated with electron can be calculated as
λ=6.626×10-34J.s9.109×10-31kg3×106m/sλ=2.43×10-10m
Similarly, de- Broglie wavelength associated with ball can be calculated as

λ=6.626×10-34J.s3×10-2kg100 m/sλ=2.2×10-34m

Hope this information will clear your doubts about the topic.

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