Q.

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

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a

27.8 ms−1

b

41.0 ms−1

c

9.6 ms−1

d

19.7 ms−1

answer is B.

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Detailed Solution

According to Bernoulli's theorem, PB+hρg=PA+12ρvA2 As⁡vA>>vB3.10P+53×660×10=P+12×660vA2⇒2.1×1.01×105+3.498×105=12×660×vA2⇒5.619×105=12×660×vA2∴ vA=2×5.619×105660=41m/s
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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