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Question: Answered & Verified by Expert
The surface of water in a water tank of cross section area 750 cm2 on the top of a house is h m. above the tap level. The speed of water coming out through the tap of cross section area 500 mm2 is 30 cm s-1. At that instant, dhdt is x×10-3 m s-1. The value of x will be ______.
PhysicsMechanical Properties of FluidsJEE MainJEE Main 2023 (01 Feb Shift 2)
Solution:
2712 Upvotes Verified Answer
The correct answer is: 2

Using continuity equation

A1v1=A2v2

We have, 

750×10-4v1=500×10-6×0.3

v1=500×3×10-3750 

=2×10-3 m s-1

Thus, dhdt=-2×10-3 m s-1

Hence, the value of x=2.

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