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) \[1.25\text{ }rad\text{ }{{s}^{-1}}\]
E) None of these
Correct Answer: E
Solution :
On depressed slightly restoring force \[A{{\rho }_{water}}\,\,xg\] Mass of bottle with water in it, \[=\text{ }V\times {{\rho }_{water}}\] \[=\,\,\,310\times {{10}^{-}}^{6}\times {{10}^{3+}}\] \[=\text{ }0.31\text{ }kg\] \[0.31\text{ }a=A{{\rho }_{water}}\,x\times 10\] \[a=\pi {{\left( \frac{2.5}{100} \right)}^{2}}\,\times \frac{10\times 10}{0.31}x\] \[=\,\,\frac{3.1}{0.31}\,\times \,\frac{{{(2.5)}^{2}}\,\times \,{{10}^{4}}}{{{10}^{4}}}x\] \[a=10\,\times \,{{\left( 2.5 \right)}^{2}}x\] \[a=62.5\text{ }x\] \[\omega =\sqrt{62.5}\text{ }rad/s\] \[\omega =8\text{ }rad/s\] as no answer is matching.You need to login to perform this action.
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