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GATE & IES — MECHANICAL ENGINEERING
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Engineering Materials

Material Testing

Fundamentals of material testing for Mechanical Engineering and GATE & IES preparation.

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8 Active Questions
Answers & Explanations Included
šŸ“– Study the questions before taking the quiz examination. No timer • No attempt recorded • No marks awarded
Question 1 of 8
Original Exam: GATE (2018)
In a Brinell hardness test, a 10 mm diameter hardened steel ball indenter was used with a load of 3000 kg. If the diameter of the indentation measured on the specimen is 4.0 mm, the Brinell Hardness Number (BHN) is closest to:
āœ“ Correct Answer: A
Explanation:
The formula for Brinell Hardness Number (BHN) is given by: BHN = P / [(pi * D / 2) * (D - sqrt(D^2 - d^2))]
Where:
P = Load applied = 3000 kg
D = Diameter of the indenter = 10 mm
d = Diameter of the indentation = 4 mm

Substituting the values:
BHN = 3000 / [(pi * 10 / 2) * (10 - sqrt(10^2 - 4^2))]
BHN = 3000 / [5 * pi * (10 - sqrt(100 - 16))]
BHN = 3000 / [5 * pi * (10 - sqrt(84))]
BHN = 3000 / [5 * pi * (10 - 9.1651)]
BHN = 3000 / [5 * pi * 0.8348]
BHN = 3000 / 13.114 = 228.75 ~ 229.
Hence, the correct option is A.
Difficulty: intermediate Type: numerical
Question 2 of 8
Original Exam: IES (2021)
Which of the following non-destructive testing (NDT) methods is based on Faraday's Law of Electromagnetic Induction?
āœ“ Correct Answer: C
Explanation:
Eddy Current Testing (ECT) operates on the principle of electromagnetic induction. When an alternating current flows through a coil placed near a conducting material, a varying magnetic field is created, inducing eddy currents in the material. Variations in the electrical conductivity or magnetic permeability of the test object, or the presence of any discontinuities, will alter the eddy current flow and change the phase and amplitude of the measured response. Thus, it relies on Faraday's Law. Options A, B, and D rely on sound waves, capillary action, and X-rays/gamma rays respectively.
Difficulty: basic Type: conceptual
Question 3 of 8
Original Exam: GATE (2015)
During a tensile test, a steel specimen has an engineering stress of 320 MPa at the upper yield point. If Young's modulus is 200 GPa, what is the elastic component of strain at this stress?
āœ“ Correct Answer: B
Explanation:
The elastic component of strain is estimated from Hooke's law as εe = σ/E. Using consistent units, σ = 320 MPa and E = 200 GPa = 200,000 MPa. Thus εe = 320/200,000 = 0.0016. This is the elastic strain component; total strain at yielding may also include plastic strain.
Difficulty: basic Type: numerical
Question 4 of 8
Original Exam: IES (2019)
Match the destructive material test with the specific property it evaluates:
1. Charpy Test -> P. Hardness
2. Jominy Test -> Q. Toughness
3. Rockwell Test -> R. Hardenability
4. Cupping Test -> S. Formability
āœ“ Correct Answer: A
Explanation:
The correct mapping is 1-Q (Charpy impact test measures impact toughness), 2-R (Jominy end-quench test evaluates steel hardenability), 3-P (Rockwell test measures hardness), and 4-S (cupping/Erichsen test assesses sheet-metal formability). Therefore, the correct sequence is 1-Q, 2-R, 3-P, 4-S.
Difficulty: intermediate Type: conceptual
Question 5 of 8
Original Exam: GATE (2020)
In a Vickers Hardness test, the indenter used is a diamond pyramid with an angle between opposite faces equal to:
āœ“ Correct Answer: D
Explanation:
The Vickers hardness test uses a square-based pyramid diamond indenter. The angle between the opposite faces of this square pyramid indenter is precisely 136 degrees. This angle was selected to approximate the ideal spherical indent geometry from Brinell testing when the indentation diameter is 0.375 times the ball diameter.
Difficulty: basic Type: conceptual
Question 6 of 8
Original Exam: IES (2022)
Which non-destructive testing method is commonly used to detect internal volumetric defects, such as porosity or slag inclusions, in steel castings, subject to the casting thickness and radiographic setup?
āœ“ Correct Answer: C
Explanation:
Radiographic testing uses X-rays or gamma rays and differences in attenuation to reveal internal volumetric discontinuities such as porosity and inclusions. Its suitability for thick steel sections depends on radiation energy, section thickness, access, and the required sensitivity. Liquid penetrant testing detects surface-breaking flaws, magnetic-particle testing detects surface and near-surface flaws in ferromagnetic materials, and visual inspection cannot reveal internal defects.
Difficulty: basic Type: application
Question 7 of 8
Original Exam: GATE (2017)
A standard Charpy V-notch specimen is 10 mm Ɨ 10 mm in cross-section, with a 2 mm deep notch. If it absorbs 40 J during impact testing, what is the absorbed impact energy per unit net cross-sectional area at the notch?
āœ“ Correct Answer: B
Explanation:
The net ligament height beneath the 2 mm notch is 10 āˆ’ 2 = 8 mm. Net area = 10 mm Ɨ 8 mm = 80 mm² = 0.8 cm². Absorbed energy per unit net area = 40 J / 0.8 cm² = 50 J/cm². Strictly, Charpy results are usually reported as absorbed impact energy (J); energy per area is a derived quantity and should be labelled as such.
Difficulty: intermediate Type: numerical
Question 8 of 8
Original Exam: IES (2016)
In Ultrasonic Testing, the principle of Piezoelectricity is utilized by the transducer to:
āœ“ Correct Answer: D
Explanation:
Piezoelectric transducers expand or contract when an alternating voltage is applied, generating high-frequency mechanical vibration (ultrasonic sound waves). Conversely, when returning acoustic echo waves stress the crystal mechanically, it outputs an electric signal. This bidirectional conversion is key to pulse-echo ultrasonic flaw detection.
Difficulty: basic Type: conceptual