A) \[\frac{{{h}^{2}}b\rho g}{2}\]
B) \[\frac{{{h}^{2}}{{b}^{2}}\rho g}{4}\]
C) \[2hb\rho g\]
D) \[\frac{{{h}^{2}}b\rho g}{4}\]
Correct Answer: A
Solution :
Here: Height of water level \[=h\] Width of dam\[=b,\]density -of water\[=\rho \] The force is given by, \[F=pressure\times area\] Or \[F=\frac{h\rho g}{2}\times hb\] Hence, \[F=\frac{{{h}^{2}}b\rho g}{2}\]
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