🏫 Board🧲 Physics

Which of the following statements is correct for alpha particle scattering experiment?

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Which of the following statements is correct for alpha particle scattering experiment?

a

For angle of scattering \(\theta \approx 0\), the impact parameter is small.

b

For angle of scattering \(\theta ≃\pi\), the impact parameter is large.

c

The number of alpha particles undergoing head-on collision is small.

d

The experiment provides an estimate of the upper limit to the size of target atom.

✓ Correct answer: c)

The number of alpha particles undergoing head-on collision is small.

Explanation

In the alpha particle scattering experiment, the impact parameter is the perpendicular distance between the path of an alpha particle and the center of the nucleus. The scattering angle is the angle at which the alpha particle is deflected. The correct statements are as follows:

(A) For a scattering angle \(\theta \approx 0\), the impact parameter is large because the alpha particle passes far from the nucleus and experiences a small deflection.

(B) For a scattering angle \(\theta \approx \pi\), the impact parameter is small because the alpha particle passes very close to the nucleus and experiences a large deflection.

(C) The number of alpha particles undergoing head-on collision is small because head-on collisions are rare events.

(D) The experiment provides an estimate of the upper limit to the size of the target nucleus because the closest approach of the alpha particles gives information about the size of the nucleus.

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