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The diagram represents the path of an alpha particle with the same initial speed as in (a)that is deflected through a smaller angle.path of alpha particlenucleus ofgold atomExplain whether the maximum acceleration would be the same as for the alphaparticle reflected back through 180°.

Question

The diagram represents the path of an alpha particle with the same initial speed as in (a)that is deflected through a smaller angle.path of alpha particlenucleus ofgold atomExplain whether the maximum acceleration would be the same as for the alphaparticle reflected back through 180°.

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Solution

The maximum acceleration of an alpha particle would not be the same if it is deflected through a smaller angle compared to being reflected back through 180°. Here's why:

  1. The acceleration of the alpha particle is determined by the force exerted on it, which is a result of the interaction between the alpha particle and the gold nucleus. This force is governed by Coulomb's Law, which states that the force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

  2. When the alpha particle is deflected through a smaller angle, it means that it passed further away from the gold nucleus compared to when it is reflected back through 180°.

  3. Since the distance between the alpha particle and the gold nucleus is greater in this case, the force exerted on the alpha particle (and therefore its acceleration) would be less according to Coulomb's Law.

  4. Therefore, the maximum acceleration of the alpha particle would be less when it is deflected through a smaller angle compared to when it is reflected back through 180°.

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