SATHEE: Properties Of Solids And Liquids Question 230

Properties Of Solids And Liquids Question 230

Question: A sniper fires a rifle bullet into a gasoline tank making a hole 53.0 m below the surface of gasoline. The tank was sealed at 3.10 atm. The stored gasoline has a density of 660 kgm?3. The velocity with which gasoline begins to shoot out of the hole is

Options:

A) The volume of the liquid flowing through the tube in unit time is $A_{1} v_{1}$

B) $v_{2} - v_{1} = \sqrt{2 g h}$

C) $v_{2}^{2} - v_{1}^{2} = 2 g h$

D)The energy per unit mass of the liquid is the same in both sections of the tube

Show Answer

Answer:

Correct Answer: C

Solution:

According to Bernoulli’s theorem,

$P_{1} + \frac{1}{2} ρ v_{1}^{2} = P_{2} + \frac{1}{2} ρ v_{2}^{2}$

therefore $P_{1} - P_{2} = \frac{1}{2} ρ (v_{2}^{2} - v_{1}^{2})$

therefore $h ρ g = \frac{1}{2} ρ (v_{2}^{2} - v_{1}^{2})$ \ $v_{2}^{2} - v_{1}^{2} = 2 g h$

Hence option (c) is correct.

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Properties Of Solids And Liquids Question 230

Question: A sniper fires a rifle bullet into a gasoline tank making a hole 53.0 m below the surface of gasoline. The tank was sealed at 3.10 atm. The stored gasoline has a density of 660 kgm?3. The velocity with which gasoline begins to shoot out of the hole is

Options:

Answer:

Solution:

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