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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 | |||||||
| ⇒ T = | ln(4) = | ln(4) | ||
| 3u0 | 3u0 |
