Navigate

In a Rutherford scattering experiment when a projectile of charge Z₁ and mass M₁

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.

AIPMT2009
admin:

Related Questions

  1. The frequencies of X-rays,γ-rays and ultraviolet rays are respectively p,q and r
  2. A small oil drop of mass 10⁻⁶kg is hanging in at rest between two plates seperated
  3. If a small amount of antimony is added to germanium crystal
  4. An electric bulb has a rated power of 50W at 100 V. if it used on an a.c. source
  5. If n₁, n₂ and n₃ are the fundamental frequencies of three segments into which a string