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Question

If S identical rain drops each falling with terminal velocity v combine to form a big drop  during their fall the terminal velocity of big drop formed is :


A
v
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B
v8
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C
4v
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D
2v
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Solution

The correct option is D 4v
$$\begin{array}{l} v=\dfrac { 2 }{ g } \dfrac { { { r^{ 2 } }\left( { \delta -\sigma  } \right)  } }{ \eta  }  \\ 8\times \dfrac { 4 }{ 3 } \pi { r^{ 3 } }=\dfrac { 4 }{ 3 } \pi { R^{ 3 } } \\ \Rightarrow R=2r \\ \Rightarrow v'=4v \end{array}$$
Hence,
option $$(C)$$ is correct answer.


Physics

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