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JEE Main 2017 · Davisson-Germer, Uncertainty, Compton & X-Rays

Davisson-Germer, Uncertainty, Compton & X-Rays question from JEE Main 2017

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Davisson-Germer, Uncertainty, Compton & X-Rays

An electron beam is accelerated by a potential difference V to hit a metallic target to produce X– rays. It produces continuous as well as characteristic X-rays. If λ\lambdamin is the smallest possible wavelength of X-ray in the spectrum, the variation of logλ\lambdamin with log V is correctly represented in:

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Answer: (b)

  1. λmin=hceV\lambda_{min} = \frac{hc}{eV}
  2. Taking logs: log⁡λmin=log⁡hce−log⁡V\log \lambda_{min} = \log\frac{hc}{e} - \log V
  3. This is a straight line with slope −1-1 and positive intercept: falling line.
  4. So the answer is (b).
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