Directions: In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3 and 4 which are respectively at heights of 20 cm, 30 cm, 40 cm and 50 cm from the horizontal floor PQ. The water falling at the P maximum horizontal distance from the vessel comes from:
(1) hole number 4 (2) hole number 3 (3) hole number 2 (4) hole number 1
A) 1 and 2 are correct
B) 2 and 3 are correct
C) 1 and 4 and correct
D) 1, 2 and 4 are correct
Correct Answer: A
Solution :
Horizontal range \[R=2\sqrt{h(H-h)}\]where h is the depth of hole below the free surface of liquid and H is the total height of liquid column. Here, H = 90 cm; for hole 1, 2,3 and 4; h will be 70,60,50 and 40 respectively and H-h will be 20, 30, 40 and 50 respectively. On solving \[R=2\sqrt{h(H-h)}\]we note that R is maximum corresponding to holes 3 and 4.
You need to login to perform this action.
You will be redirected in
3 sec
