A) \[\frac{{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]
B) \[\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]
C) \[\frac{2v_{1}^{2}v_{2}^{2}}{v_{1}^{2}+v_{2}^{2}}\]
D) \[\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
Correct Answer: B
Solution :
| Velocity \[v=\frac{s}{t}\Rightarrow s=vt\] |
| The average speed of particle |
| \[{{v}_{av}}=\frac{s+s}{\frac{s}{{{v}_{1}}}+\frac{s}{{{v}_{2}}}}\] |
| \[{{v}_{av}}=\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\] |
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