Question

A large tank is filled with water (density = 10³kg/m³). A small hole is made at a depth 10 m below water surface. The range of water effluxing out of the hole is R on ground. The extra pressure (in atm) must be applied on the water surface so that the range becomes 2R is ______. (Take 1 atm = 10⁵ Pa and g = 10 m/s²)

पर्याय

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Answer 1

A large tank is filled with water (density = 10³kg/m³). A small hole is made at a depth 10 m below water surface. The range of water effluxing out of the hole is R on ground. The extra pressure (in atm) must be applied on the water surface so that the range becomes 2R is 3. (Take 1 atm = 10⁵ Pa and g = 10 m/s²)

Explanation:

The range will be twice as long as the eflux velocity is twice as fast. Now as,

v = `sqrt(2"gh")`

Since, h should be 4 times or 40 m.

As a result, an additional pressure of 30 m of water should be applied.

1 atm = 0.76 × 13.6 m of water

= 10.336 m of water

30 m of water ≈ 3.0 atm