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In a Rutherford scattering experiment when a projectile of charge Z₁ and mass M₁ approaches a target nucleus of charge Z₂ and mass M₂, the distance of closest approach is r. The energy of the projectile is
Options
(a) directly proportional to Z₁ Z₂
(b) inversely proportional to Z₁
(c) directly proportional to mass M₁
(d) directly proportional to M₁ x M₂
Correct Answer:
directly proportional to Z₁ Z₂
Explanation:
The kinetic energy of the projectile is given by
1/2 mv² = Ze (2e) / 4π?￢ﾂﾀr₀
= Z₁ Z₂ / 4π?￢ﾂﾀr₀
Thus energy of the projectile is directly proportional to Z₁, Z₂.
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Topics: Atoms and Nuclei
(136)
Subject: Physics
(2479)
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