Fluid Mechanics JEE Main 2025 Shift 2

JEE MAIN 2025

23-01-2025 SHIFT-2

Question

Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is $P_{1}$. The reading of the pressure gauge falls to $P_{2}$ when the valve is opened. The speed of water flowing in the pipe is proportional to

Select the correct option:

$\sqrt{\mathrm{P}_{1}-\mathrm{P}_{2}}$

$\left(\mathrm{P}_{1}-\mathrm{P}_{2}\right)^{4}$

$P_{1}-P_{2}$

$\left(P_{1}-P_{2}\right)^{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

By Bernoulli equation
$$ \mathrm{P}_{1}+\frac{1}{2} \times \rho \times 0^{2}=\mathrm{P}_{2}+\frac{1}{2} \rho \mathrm{~V}^{2} \quad \mathrm{v}=\sqrt{2 \rho\left(\mathrm{P}_{1}-\mathrm{P}_{2}\right)} $$

Question Tags

JEE Main

Physics

Easy

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