Success TrackerSuccess Tracker
Log inSign up

GATE ME 2018 Set 2 — Question 50

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
NAT+2 / -0HardApplications of BernoulliFluid Kinematics & DynamicsFluid MechanicsContinuity & Momentum Equations

Fluid Mechanics → Fluid Kinematics & Dynamics → Applications of Bernoulli

Last updated

Question

A frictionless circular piston of area 10−2 m210^{-2}\text{ m}^2 and mass 100 kg100\text{ kg} sinks into a cylindrical container of the same area filled with water of density 1000 kg/m31000\text{ kg/m}^3 as shown in the figure. The container has a hole of area 10−3 m210^{-3}\text{ m}^2 at the bottom that is open to the atmosphere. Assuming there is no leakage from the edges of the piston and considering water to be incompressible, the magnitude of the piston velocity (in m/s) at the instant shown is _____ (correct to three decimal places).
A cylindrical container filled with water to a height of 0.5 m. A 100 kg piston is on top of the water. A small hole is at the bottom right. Gravity $g = 10\text{ m/s}^2$ is acting downwards. Atmospheric pressure $p_{atm}$ is above the piston and at the hole exit.
Your answer

Enter a number. Decimals, negative values and scientific notation are accepted.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans
PYQs with solutions
Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts
Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support
Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

Start with a free accountView plans and allowances

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Fluid Kinematics & Dynamics

2026 Set 1 Q24A steady incompressible laminar flow passes through a 90∘90^\circ tube bend placed on a horizontal…2026 Set 1 Q25An ideal gas passes isothermally through a long horizontal uniform cross-section pipe under steady…2026 Set 1 Q26Bernoulli’s equation CANNOT be applied between2026 Set 1 Q29A hydraulic crane supports a mass of 500 kg500\text{ kg} with its piston-cylinder actuator, inclined at…2026 Set 1 Q53Water with a density of 1000 kg/m31000 \text{ kg/m}^3 comes out of an industrial condenser through a…