Electrons of mass, m with de-Broglie wavelength, λ fall on the target in an X-ray tube. The cutoff…

Electrons of mass, m with de-Broglie wavelength, λ fall on the target in an X-ray tube. The cutoff wavelength, λ0 of the emitted X-ray is
  1. λ0=2mcλ2h
  2. λ0=2hmc
  3. λ0=2m2c2λ3h2
  4. λ0=λ

Solution

Momentum, P=hλE=P22mh22mλ2=hcλ0

λ0=hch22mλ2

=2mcλ2h.

Asked in: NEET 2016 (Phase 2)

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