A) \[v\]
B) \[\sqrt{2v}\]
C) \[\sqrt{3v}\]
D) \[\frac{\sqrt{3}}{2}v\]
Correct Answer: A
Solution :
Change in velocity \[\Delta v=\sqrt{v_{1}^{2}+v_{2}^{2}+2{{v}_{1}}{{v}_{2}}\cos \theta }\] \[=\sqrt{{{v}^{2}}+{{v}^{2}}+2v.v\cos {{120}^{o}}}\] \[=\sqrt{2{{v}^{2}}+2{{v}^{2}}\left( -\frac{1}{2} \right)}=\sqrt{{{v}^{2}}}=v\]You need to login to perform this action.
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