Q.

Calculate de Broglie wavelength of an electron travelling at 1% of the speed of light

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a

2.73  ×1024

b

2.42  ×1010

c

242.2  ×1010

d

None of these

answer is B.

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Detailed Solution

One percent of the speed of light is

v=11003.00  ×  108ms1=3.00  ×  106ms1Momentum  of  the  electron  p=mv=9.11  ×  1031kg3.00  ×  106ms1=2.73  ×  1024kg  ms1The  deBroglie  wavelength  of  this  electron  isλ=hp  =  6.626  ×  10342.73  ×  1024kgms1λ=2.424  ×  1010  m.

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Calculate de Broglie wavelength of an electron travelling at 1% of the speed of light