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QJEEM21Ph13f8: JEE Main 2021 Physics - Class 12 JEEM21Ph13f8 Solution: The de-Broglie wavelength associated with an electron and a…

The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same potential of 100 V. What should nearly be the ratio of their wavelengths? (mp = 1.00727u me = 0.00055u)

Multiple Choice Options

  • A 41.4 : 1
  • B (1860)2 : 1
  • C 1860:01:00
  • D 43:01:00

Step-by-Step Verified Solution

λe=12.27VAo{\lambda _e} = {{12.27} \over {\sqrt V }}\mathop A\limits^o

λp=0.286VAo{\lambda _p} = {{0.286} \over {\sqrt V }}\mathop A\limits^o

λeλp=12.270.286=43{{{\lambda _e}} \over {{\lambda _p}}} = {{12.27} \over {0.286}} = 43

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