A cylindrical vessel of 90 cm height is filled upto the brim. It has four holes 1 , 2 , 3 , 4 which are, respectively, at heights of 20 cm, 30 cm, 45 cm and 80 cm from the horizontal floor PQ . The water falling at the maximum horizontal distance from the vessel comes from

Question

A cylindrical vessel of 90 cm height is filled upto the brim. It has four holes 1 , 2 , 3 , 4 which are, respectively, at heights of 20 cm, 30 cm, 45 cm and 80 cm from the horizontal floor PQ . The water falling at the maximum horizontal distance from the vessel comes from <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-lo5t4orbaiur.png" /> (A) hole number 4 (B) hole number 3 (C) hole number 2 (D) hole number 1

Tardigrade Admin · Accepted Answer

The maximum horizontal distance from the vessel comes from hole number 3 v=√2 g h arrow h is height of hole from top horizontal distance x=vt=√2 g h √(2 (H - h)/g) x=2 √h (H - h)

Q. A cylindrical vessel of $90 c m$ height is filled upto the brim. It has four holes $1$ , $2$ , $3$ , $4$ which are, respectively, at heights of $20 c m, 30 c m, 45 c m$ and $80 c m$ from the horizontal floor $PQ$ . The water falling at the maximum horizontal distance from the vessel comes from

hole number 4

hole number 3

hole number 2

hole number 1

The maximum horizontal distance from the vessel comes from hole number $3$
$v = 2 g h \to h$ is height of hole from top
horizontal distance $x = v t = 2 g h \frac{2 ( H - h )}{g}$
$x = 2 h (H - h)$

Q. A cylindrical vessel of 90cm height is filled upto the brim. It has four holes 1 , 2 , 3 , 4 which are, respectively, at heights of 20cm,30cm,45cm and 80cm from the horizontal floor PQ . The water falling at the maximum horizontal distance from the vessel comes from