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Wave Optics

Question
CBSEENPH12039854

An α- particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of 0.25 Wb/m2. The de-Broglie wavelength associated with the particle will be

  • 1 Ao

  • 0.1 Ao

  • 10 Ao

  • 0.01 Ao

Solution

D.

0.01 Ao

We knows
straight R equals space mv over qB

and space straight lambda space equals space straight h over mv
straight lambda space equals fraction numerator space straight h over denominator qBR end fraction
space equals space fraction numerator 6.6 space straight x space 10 to the power of negative 34 end exponent over denominator 1.6 space straight x space 10 to the power of negative 19 end exponent space straight x space 0.83 space straight x space 10 to the power of negative 2 end exponent space straight x space 0.25 space end fraction space 0.01 space straight A to the power of straight o

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