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JEE PYQ: Mechanical Properties Of Fluids Question 27

Question 27 - 2019 (10 Apr 2019 Shift 2)

A submarine experiences a pressure of $5.05 \times 10^6$ Pa at depth of $d_1$ in a sea. When it goes further to a depth of $d_2$, it experiences a pressure of $8.08 \times 10^6$ Pa. Then $d_1 - d_1$ is approximately (density of water = $10^3$ kg/m$^2$ and acceleration due to gravity = 10 ms$^{-2}$):

(1) 300 m

(2) 400 m

(3) 600 m

(4) 500 m

Show Answer

Answer: (1) 300 m

Solution

$P_1 = P_0 + \rho g d_1$ $P_2 = P_0 + \rho g d_2$ $\Delta P = P_2 - P_1 = \rho g \Delta d$ $3.03 \times 10^6 = 10^3 \times 10 \times \Delta d$ $\Rightarrow \Delta d = 300$ m


Learning Progress: Step 27 of 33 in this series