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Question

What was the initial speed of the alpha particle?

A
132.×102ms1
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B
1.32.×107ms1
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C
13.2.×102ms1
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D
0.13.×107ms1
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Solution

The correct option is B 1.32.×107ms1
As alpha particle goes near nucleus its K.E gets converted to Potential energy and its velocity becomes zero.
kq1q2r=12mvi2+0

vi=2kq1q2rm
Therefore, initial velocity is:
vi= 2(8.97×109)×82×2×(1.602×1019)2(6.5×1014)×(6.64×1027)=1.322×107 m/s

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