Engineering Sciences
GATE XE Dimensional Analysis PYQs
Build your understanding with focused practice from past exam papers.
How to practice Dimensional Analysis
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 17. Imported answers require independent review unless marked reviewed.
Question 39
Open questionXE-BNAT2 marksNeeds review
A ship is designed to sail at a speed of 8 m.s
. A designer makes a 1/10 scaled model to test the ship in a water tunnel. The model and the ship satisfy the dynamic similarity. The speed (in m.s
) of the model is __________. (rounded off to two decimal places)Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 41
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A ship is to be operated in a fluid medium with kinematic viscosity
m
/s. A one-tenth scale model of the ship is built for testing. Consider, inertia, viscous and gravity forces are dominant for the ship and its model during the operation. The required kinematic viscosity of the liquid for testing the model is
m
/s. The value of
(rounded off to 2 decimal places) is ________Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 32
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A one-eighth scale model of a car is to be tested in a wind tunnel. If the air velocity over the car is 16 m/s, what should be the air velocity (in m/s) in the wind tunnel in order to achieve similarity between the model and the prototype?
Your answerChoose one option.
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A set of basic dimensions, mass, length, and time are represented by M, L, and T, respectively. What will be the dimensions of pressure in M-L-T system?
Your answerChoose one option.
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Among the following non-dimensional numbers, which one characterizes periodicity present in a transient flow?
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 39
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A hydraulic turbine with rotor diameter of 100 mm produces 200 W of power while rotating at 300 rpm. Another dynamically-similar turbine rotates at a speed of 1500 rpm. Consider both turbines to operate with the same fluid (identical density and viscosity), and neglect any gravitational effect. Then the power (in W, rounded off to nearest integer) produced by the second turbine is ________________.
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The left hand column lists some non-dimensional numbers and the right hand column lists some physical phenomena. Indicate the correct combination
| |
|---|---|
1. Reynolds number | i. Wave drag |
2. Froude number | ii. Compressible flow |
3. Mach number | iii. Viscous drag |
4. Weber number | iv. Spray formation |
Your answerChoose one option.
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Open questionXE-BMCQ2 marksNeeds review
The speed of propagation,
, of a capillary wave depends on the density of the fluid,
, the wavelength of the wave,
, and the surface tension,
. If the density and wavelength remain constant, halving the surface tension would lead to a new velocity,
, given byYour answerChoose one option.
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A large pump is to deliver oil at an average velocity (
) of 1.5 m/s. The pump has an impeller diameter (
) of 40 cm and the pressure rise across the pump is 400 kPa. To design this pump, a lab-scale model pump with an impeller diameter of 4 cm is to be used with water as the fluid. The viscosity (
) of the oil is 100 times that of water, and the densities (
) of oil and water are identical. A complete geometric similarity is maintained between the model and prototype. If the pressure rise is a function only of
,
,
and
, the pressure rise (in kPa, up to one decimal place) across the model pump is ______.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 5
Open questionXE-BMCQ1 markNeeds review
A non-dimensional number known as Weber number is used to characterize which one of the following flows,
Your answerChoose one option.
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