Question 311: Properties of Matter

Question

The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. The value of 'h' for which the emerging steam of water strikes the ground at the maximum range is ________ m.

Accepted Answer

$$R = \sqrt {2gh}  	imes \sqrt {{{(12 - h) 	imes 2} \over g}} $$
$$\sqrt {4h(12 - h)}  = R$$
For maximum R
$${{dR} \over {dh}} = 0$$
$$\Rightarrow$$ h = 6 m

Properties of Matter

The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. The value of 'h' for which the emerging steam of water strikes the ground at the maximum range is ________ m.

Integer / Numeric Answer Type