GATE ME 2014 Set 2 — Question 51
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardBuoyancy & StabilityFluid Properties & StaticsFluid MechanicsIdeal & Real Gas BehaviourLaws & PropertiesThermodynamics
Fluid Mechanics → Fluid Properties & Statics → Buoyancy & Stability
Last updated
Question
A spherical balloon with a diameter of , shown in the figure below is used for advertisements. The balloon is filled with helium () at ambient conditions of and . Assuming no disturbances due to wind, the maximum allowable weight (in newton) of balloon material and rope required to avoid the fall of the balloon () is _______

Correct answer
5300 to 5330
Solution
1.Calculate the volume of the balloon:
2.Calculate the density of air and helium at ambient conditions ():
3.Calculate the buoyancy force () and the weight of helium ():
4.Calculate the maximum allowable weight ():
The value falls within the range of 5300 to 5330.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.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Fluid Properties & Statics
2026 Set 1 Q23For an ideal gas, starting from state point 1, two different processes take place. The…2026 Set 1 Q24A steady incompressible laminar flow passes through a 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 Q28For the isothermal expansion of an ideal gas in a piston cylinder system, the net heat supplied…