A) 30 N
B) 150 N
C) 300 N
D) 600 N
Correct Answer: C
Solution :
Pressure at neck of bottle \[{{P}_{1}}=\frac{{{F}_{1}}}{{{A}_{1}}}=\frac{{{F}_{1}}}{\pi r_{1}^{2}}\] Similarly, pressure at bottom of bottle \[{{P}_{2}}=\frac{{{F}_{2}}}{{{A}_{2}}}=\frac{{{F}_{2}}}{\pi r_{2}^{2}}\] According to Pascals law, liquids transmitspressure equal in all directions. \[\therefore \] \[\frac{{{F}_{1}}}{\pi r_{1}^{2}}=\frac{{{F}_{2}}}{\pi r_{2}^{2}}\] or \[{{F}_{2}}={{F}_{1}}\times {{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{2}}\] \[=12\times {{\left( \frac{15}{3} \right)}^{2}}\] \[=12\times 25\] \[=300\,N\]You need to login to perform this action.
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