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NEETPhysicsDual Nature of Matter

An electron is accelerated through a potential difference V to produce continuous X-rays. If _ min is the minimum wavelength of the emitted X-rays, which of the following correctly describes the graph plotted between _ min on the y-axis and 1 V on the x-axis?

Options

  1. AA straight line passing through the origin
  2. BA rectangular hyperbola
  3. CA parabola passing through the origin
  4. DA straight line having a positive intercept on the y-axis

Correct answer

A. A straight line passing through the origin

Step-by-step solution

The maximum kinetic energy of the accelerated electron is K = eV . The minimum wavelength of the emitted X-ray photon corresponds to the maximum energy transfer, given by: E_ max = hc _ min = eV Rearranging this, we get: _ min = hc eV = ( hc e ) 1 V This equation is of the form y = mx , where y = _ min , x = 1 V , and the slope m = hc e . Therefore, the graph between _ min and 1 V is a straight line passing through the origin. A rectangular hyperbola would be obtained if _ min was plotted against V . Answer: A stra

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