devarshi-dt-logo

Question:

Determine the height above the dashed line XX' attained by the water stream coming out through the hole situated at point B in the diagram given. Given that h=10m, L=2m and d=30o.

5m

10m

7.1m

3.2m

Solution:

Correct option is D. 3.2m

Given that,
Height H = 10 m
Length L = 2 m
Angle θ = 30°

According to the figure,
From the figure h is
h = 2 × sin 30°
h' = 1m

Now, apply Torricelli's law, velocity of jet will be
v = √(2g(H-h))
v = √(2 × 9.8(10 - 1))
v = 13.3 m/s

Now, Height of the jet from the opening of orifice at lower end
H' = (v²sin²30°)/(2g)
H' = (13.3 × (1/2))²/(2 × 9.8)
H' = 2.2 m

Height from the line XX' will be,
H = H' + h
H = 2.2 + 1 = 3.2

So, the maximum height of the jet is 3.2 m
Hence, D is the correct option.