Question

At what depth below the surface of water will pressure be equal to twice the atmospheric pressure? Atmospheric pressure = 10⁵ N/m², density of water is 10³ kg m⁻³ and g = 9.8 ms⁻².

Answer 1

Depth asked in question will be - 10.2 m

Pressure under water is given by the sum of atmospheric pressure and pressure of fluid.

Further, pressure of fluid will be calculated by the formula given below-

P= rho*g*h

Rho is density of fluid, g is gravity, h depth

Therefore formula for calculation of pressure below water will be-

P'= P+rho*g*h

Given in question is - P'= 2P

P'- P= rho*g*h

2P - P= rho*g*h

P= rho*g*h

h= P/(rho*g)

h= 10^5/(10^3*9.8)

h = 10.2 m

Thus, depth in water at which pressure will be equal to twice the atmospheric pressure is 10.2 m.

Answer 2

The answer is provided down below

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