A cylindrical vessel of 90 cm height is kept filled up to the brim. It has four holes 1,2,3,4 which are represented in figure situated at a height of 20 cm , 30 cm , 45 cm and 50 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 kept filled up to the brim. It has four holes 1,2,3,4 which are represented in figure situated at a height of 20 cm , 30 cm , 45 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from (A) Orifice 1 (B) Orifice 2 (C) Orifice 3 (D) Orifice 4

Tardigrade Admin · Accepted Answer

Shortcut: When h =( H /2) range will be maximum ∴ h =(90/2)=45 cm

Q. A cylindrical vessel of 90cm height is kept filled up to the brim. It has four holes 1,2,3,4 which are represented in figure situated at a height of 20cm,30cm,45cm and 50cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from

Orifice 1

Orifice 2

Orifice 3

Orifice 4

Shortcut: When h=2H​ range will be maximum ∴h=290​=45cm

Shortcut: When $h = \frac{H}{2}$
range will be maximum
$∴ h = \frac{90}{2} = 45 c m$