Q132 / 180 · NEET 2016 (Phase 2) · Physics

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

  • Correct answer
    A
    λ0=2mcλ2h
  • B
    λ0=2hmc
  • C
    λ0=2m2c2λ3h2
  • D
    λ0=λ

Solution

Momentum, P=hλ⇒E=P22m⇒h22mλ2=hcλ0

⇒λ0=hch22mλ2

=2mcλ2h.

Hence, the correct answer is option: 'A'.

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