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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3as052

A fixed target nucleus is approached head-on by various projectiles. The distance of closest approach is . Which statements are correct?

  1. AFor an alpha particle of the same energy, for gold () is about 6.1 times for aluminium ()
  2. BA proton of and an alpha particle of approach the same nucleus to the same distance
  3. CA deuteron of and an alpha particle of approach the same nucleus to the same distance
  4. DDoubling the alpha-particle energy from to halves

Answer: A, B, D

d is proportional to Z1 Z2/K. (A) Z2 ratio = 79/13 = 6.08. (B) Z1/K: proton 1/3.0 = 0.333, alpha 2/6.0 = 0.333, so equal. (C) Deuteron has Z1 = 1: 1/6 = 0.167, which differs from 0.333, so not equal. (D) d is inversely proportional to K, so doubling K halves d.
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