Question

A cylindrical vessel of $90\text{cm}$ height is kept filled up to the brim. It has four holes $1,2,3$ and $4$ which are respectively at heights of $20\text{cm},30\text{cm},45\text{cm}$ and $50\text{cm}$ from the horizontal floor $PQ$. The water falling on the ground at the maximum horizontal distance from the vessel comes from

• A. hole number $4$
• B. hole number $3$
• C. hole number $2$
• D. hole number $1$

Answer 1

The correct option is B hole number $3$

Given,
Height of hole $1$ from floor, $h_1=20\text{cm}$
Height of hole $2$ from floor, $h_2=30\text{cm}$
Height of hole $3$ from floor, $h_3=45\text{cm}$
Height of hole $4$ from floor, $h_4=50\text{cm}$


We know that for maximum horizontal range, height of the hole from the floor is given by $h=\frac{H}{2}$.


$\Rightarrow h=\frac{90}{2}=45\text{cm}=h_3$
Therefore, water coming out from hole $3$ will fall on the ground at maximum horizontal range.