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A sniper fires a rifle bullet into a gas...

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`. The velocity with which gasoline begins to shoot out of the hole is

A

27.8m`s^(-1)`

B

41.0m`s^(-1)`

C

9.6m`s^(-1)`

D

19.7 m`s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
According to Bernoulli.s principle -
`P_B+h rho g=P_A + 1/2 rho V_A^2`

`implies 3.10xx10^5xx1.01+53xx660xx10`
`implies 1.01xx10^5+1/2 xx660xx V_A^2`
`implies (2(2.10xx10^5xx1.01+53xx660xx10))/(660)=V_A^2`
` implies V_A= 41.26 ~~ 41 m//s`.
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