First slide

Scattering of a-particles and Rutherford’s nuclear Model of Atoms.

Question

An alpha-particle is projected towards a stationary Cu nucleus, an Au nucleus and an Ag nucleus with same speed from a large distance. The distances of closest approaches were found to be $d_{1}$ , $d_{2}$ and $d_{3}$ respectively. Which of the following is correct?

Moderate

A

$d_{1} < d_{2} < d_{3}$
B

$d_{1} < d_{3} < d_{2}$
C

$d_{2} < d_{3} < d_{1}$
D

$d_{2} < d_{1} < d_{3}$

Solution

$f o r d i s \tan c e o f c l o s e s t a p p r o a c h \frac{1}{2} m v^{2} = \frac{Z e 2 e}{4 π ε_{0} d} d i s p r o p o r t i o n a l t o Z Z f o r A g 47 f o r A u 79 f o r C u 29$

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