A) \[2.50\text{ }rad\text{ }{{s}^{-}}^{1}\]
B) \[3.75\text{ }rad\text{ }{{s}^{-1}}\]
C) \[5.00\text{ }rad\text{ }{{s}^{-1}}\]
D) None of these
Correct Answer: D
Solution :
[d] (Bonus) |
On depressed slightly restoring force |
Mass of bottle with water in it, \[=\text{ }V\times {{\rho }_{water}}\] |
\[=\,\,\,310\times {{10}^{-}}^{6}\times {{10}^{3+}}\] |
\[=\text{ }0.31\text{ }kg\] |
\[0.31\text{ }a=A{{\rho }_{water}}\,x\times 10\] |
\[a=\pi {{\left( \frac{2.5}{100} \right)}^{2}}\,\times \frac{10\times 10}{0.31}x\] |
\[=\,\,\frac{3.1}{0.31}\,\times \,\frac{{{(2.5)}^{2}}\,\times \,{{10}^{4}}}{{{10}^{4}}}x\] |
\[a=10\,\times \,{{\left( 2.5 \right)}^{2}}x\] |
\[a=62.5\text{ }x\] |
\[\omega =\sqrt{62.5}\text{ }rad/s\] |
\[\omega =8\text{ }rad/s\] |
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