A cylindrical vessel of 90 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 cm, 30 cm, 40 cm and 50 cm from the horizontal floor PQ. The water falling 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
Answers
Explanation:
PHYSICS
A cylindrical vessel of 90 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 cm, 30 cm, 40 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from:
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December 20, 2019avatar
Amol Dalavi
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ANSWER
The maximum horizontal distance from the vessel comes from hole numbers 3 and 4. Now, v=
2gh
, where h is the height of the hole from the top.
Let say height of vessel is 'H'.
The vertical distance travelled by the water is given as H−h=
2
1
gt
2
We get the time of descent as t=
g
2(H−h)
Horizontal distance,
x=vt=
2gh
g
2(H−h)
=2
h(H−h)
Substituting the values we get the maximum distance for hole number 3 and 4.
Horizontal Range will be maximum
when h = H/2
=90/2= 45 cm
that is hole 3