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Q.

Consider a horizontally oriented syringe containing water located of a height of 1.25 m above the ground. The diameter of plunger is 8 mm and the diameter of the nozzle is 2 mm. The plunger is pushed with a constant speed of 0.25 ms−1. Find the horizontal range of water stream on the ground. Take g=10 ms−2.

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a

10 m

b

2 m

c

20 m

d

4 m

answer is B.

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Detailed Solution

By continuity equation between C and AAV = avπ4D2V=π4d2vv=Dd2V=822×0.25=4ms−1Projectile motion between A and Bh=12gt2t=2hg=2×1.2510=0.5sR=vt=4×0.5=2m
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Consider a horizontally oriented syringe containing water located of a height of 1.25 m above the ground. The diameter of plunger is 8 mm and the diameter of the nozzle is 2 mm. The plunger is pushed with a constant speed of 0.25 ms−1. Find the horizontal range of water stream on the ground. Take g=10 ms−2.