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In a steady flow through a nozzle, the flow velocity on the nozzle axis is given by v = u0 (1 + 3x/L)i, where x is the distance along the axis of the nozzle from its inlet plane and L is the length of the nozzle. The time required for a fluid particle on the axis to travel from the inlet to the exit plane of the nozzle is
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L u0
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L ln4 3u0
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L 4u0
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L 2.5u0
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Correct Option: B
v = u0 | ![]() | 1 + | ![]() | |
L |
∴ | = u0 | ![]() | 1 + | ![]() | ||
dt | L |
⇒ | = dt | ||||||
u0 | ![]() | 1 + | ![]() | ||||
L |
![](http://images.interviewmania.com/wp-content/uploads/2019/10/as-77.jpg)
⇒ T = | ln(4) = | ln(4) | ||
3u0 | 3u0 |