A) \[1224\text{ }m/s~\]
B) \[612\text{ }m/s\]
C) \[2448\text{ }m/s~\]
D) \[306\text{ }m/s\]
Correct Answer: B
Solution :
[b] If \[{{\rho }_{H}}=1\] then \[{{\rho }_{mix}}=\frac{4\times 1+1\times 16}{(4+1)}=4\] \[\frac{{{v}_{mix}}}{{{v}_{H}}}=\sqrt{\frac{{{\rho }_{H}}}{{{\rho }_{mix}}}}=\sqrt{\frac{1}{4}}=\frac{1}{2}\] \[{{v}_{mix}}=\frac{{{v}_{H}}}{2}=\frac{1224}{2}=612m/s\]
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