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Question

A particle covers half of its total distance with speed, $${v}_{1}$$ and the rest half distance with speed, $${v}_{2}$$. Its average speed during the complete journey is


A
v1v2v1+v2
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B
2v1v2v1+v2
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C
2v21v22v21+v22
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D
v1+v22
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Solution

The correct option is C $$\displaystyle\frac{2{v}_{1}{v}_{2}}{{v}_{1} + {v}_{2}}$$
$${V}_{av} = \displaystyle\frac{S + S}{\displaystyle\frac{S}{{V}_{1}} + \displaystyle\frac{S}{{V}_{2}}} = \displaystyle\frac{2{V}_{1}{V}_{2}}{{V}_{1} + {V}_{2}}$$

Physics

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