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Previous year question hub

Dimensional Analysis - Engineering Sciences Previous Year Questions

Practice Dimensional Analysis - Engineering Sciences previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

15Papers
15Years
29Questions
1Topics

Dimensional Analysis question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Dimensional Analysis. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 14 48.3%
Easy 13 44.8%
Hard 2 6.9%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 15 51.7%
Numerical Answer Type (NAT) 13 44.8%
MSQ 1 3.4%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
29 Qs

Most asked topics

Top topics across the included previous year papers.

Dimensional Analysis
29 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Similarity and Buckingham Pi Theorem
29 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Engineering Sciences (XE) 2026
1 Qs
Engineering Sciences (XE) 2025
1 Qs
Engineering Sciences (XE) 2024
1 Qs
Engineering Sciences (XE) 2023
2 Qs
Engineering Sciences (XE) 2022
4 Qs
Engineering Sciences (XE) 2021
1 Qs
Engineering Sciences (XE) 2020
2 Qs
Engineering Sciences (XE) 2019
3 Qs
Engineering Sciences (XE) 2018
2 Qs
Engineering Sciences (XE) 2017
2 Qs
Engineering Sciences (XE) 2016
2 Qs
Engineering Sciences (XE) 2015
1 Qs
Engineering Sciences (XE) 2014
3 Qs
Engineering Sciences (XE) 2013
2 Qs
Engineering Sciences (XE) 2012
2 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Similarity and Buckingham Pi Theorem

Explore previous-paper coverage, trends and focused practice for Similarity and Buckingham Pi Theorem.

29 questions15 papers15 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Engineering Sciences (XE) 202620261View paper
Engineering Sciences (XE) 202520251View paper
Engineering Sciences (XE) 202420241View paper
Engineering Sciences (XE) 202320232View paper
Engineering Sciences (XE) 202220224View paper
Engineering Sciences (XE) 202120211View paper
Engineering Sciences (XE) 202020202View paper
Engineering Sciences (XE) 201920193View paper
Engineering Sciences (XE) 201820182View paper
Engineering Sciences (XE) 201720172View paper
Engineering Sciences (XE) 201620162View paper
Engineering Sciences (XE) 201520151View paper
Engineering Sciences (XE) 201420143View paper
Engineering Sciences (XE) 201320132View paper
Engineering Sciences (XE) 201220122View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2012 · Engineering Sciences · Dimensional Analysis · Similarity and Buckingham Pi Theorem
Engineering Sciences (XE) 2012
Air flows over a spherical storage vessel of diameter 4 m at a speed of 1 m/s. To find the drag force on the vessel, a test run is to be carried out in water using a sphere of diameter 100 mm. The density and dynamic viscosity of air are 1.2 kg/m³ and 1.8 × 10⁻⁵ Pa.s, respectively. The density and dynamic viscosity of water are 1000 kg/m³ and 10⁻³ Pa.s, respectively. The drag force on the model is 4 N under dynamically similar conditions. The drag force (in N) on the prototype is approximately
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2
2013 · Engineering Sciences · Dimensional Analysis · Similarity and Buckingham Pi Theorem
Engineering Sciences (XE) 2013
The velocity in m/s, at which the model is towed, is
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3
2014 · Engineering Sciences · Dimensional Analysis · Similarity and Buckingham Pi Theorem
Engineering Sciences (XE) 2014
A fruit juice of viscosity \(\mu\) and density \(\rho\) is agitated using an impeller of diameter D at a speed of N revolutions per minute. The terms \(X = \frac{P}{\rho N^3 D^5}\), \(Y = \frac{D^2 N \rho}{\mu}\), \(Z = \frac{N^2 D}{g}\) represent three process related numbers, where P is power imparted by impeller and g is acceleration due to gravity. Which of the following is correct representation of these numbers?
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4
2015 · Engineering Sciences · Dimensional Analysis · Similarity and Buckingham Pi Theorem
Engineering Sciences (XE) 2015
A certain fluid flow phenomenon is described by Reynolds, Weber and Ohnesorge numbers. The Weber and Ohnesorge numbers are defined as \(We = \frac{\rho U^2 L}{\sigma}\), and \(Oh = \frac{\mu}{\sqrt{\rho \sigma L}}\) respectively, where \(\sigma\) is the surface tension, \(\rho\) is the density, \(\mu\) is the dynamic viscosity, \(U\) is the velocity and \(L\) is the characteristic dimension. If \(Re\) denotes the Reynolds number, which of the following relations is true?

Question diagram

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5
2016 · Engineering Sciences · Dimensional Analysis · Similarity and Buckingham Pi Theorem
Engineering Sciences (XE) 2016
Prototype of a dam spillway ( a structure used for controlled release of water from the dam) has characteristic length of 20m and characteristic velocity of 2 m/s. A small model is constructed by keeping Froude number same for dynamic similarity between the prototype and the model. What is the minimum length-scale ratio between prototype and the model such that the minimum Reynolds' number for the model is 100? The density of water is 1000 kg/m³ and viscosity is \( 10^{-3} \) Pa-s.
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6
2017 · Engineering Sciences · Dimensional Analysis · Similarity and Buckingham Pi Theorem
Engineering Sciences (XE) 2017
The volumetric flow rate (Q) of a triangular notch is a function of the upstream liquid surface elevation (H) measured from the bottom of the notch, acceleration due to gravity (g), notch angle (φ) and the approach velocity (V). Which one of the following is the correct expression for Q ?
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