A) \[\frac{1}{e}\]
B) \[\frac{1-e}{1+e}\]
C) \[\frac{e}{1+e}\]
D) \[\frac{e+1}{e}\]
Correct Answer: B
Solution :
The velocity of sphere of mass \[m={{u}_{1}}\] The velocity of another sphere of mass m \[={{u}_{2}}=0\] The velocity after collision of first sphere \[{{v}_{1}}=\left( \frac{m-em}{m+m} \right){{u}_{1}}+0\] The velocity after collision of second sphere \[{{v}_{2}}=\left[ \frac{(1+e)m}{(m+m)} \right]{{u}_{1}}+0\] \[\therefore \] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{1-e}{1+e}\]
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