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Mechanical Properties of Solids is a small chapter with a very good return. Almost every question comes from one of three places: the definition of a modulus, the stretching of a wire, or the energy stored in it. There is very little to derive here and a lot to simply know, which is exactly the kind of chapter you should not be losing marks in. Ten questions below. Give them ten honest minutes.
What this chapter carries in NEET(UG)
- Usually 1 to 2 questions every year, which is 4 to 8 marks.
- Young’s modulus and the stretching of a wire are the favourites.
- Stress–strain graph labels and the energy stored are asked almost as often.
What the syllabus says
In the syllabus (Unit 7, Properties of Solids and Liquids): Elastic behaviour, the stress–strain relationship, Hooke’s law, Young’s modulus, bulk modulus and modulus of rigidity.
Taken out in 2024: Poisson’s ratio; elastic energy, that is the energy stored per unit volume.
Taken from the NMC syllabus for NEET (UG) 2026, the latest one published. See the full syllabus, unit by unit.
Formulas you must know by heart
| Stress | σ = F / A |
| Strain | ε = ΔL / L |
| Young’s modulus | Y = FL / AΔL |
| Bulk modulus | B = − ΔP / (ΔV/V) |
| Modulus of rigidity | η = F / Aθ |
| Compressibility | k = 1 / B |
| Breaking stress | a property of the material: breaking load = breaking stress × area |
| Extension under a load | l = FL / AY |
Notice the half in the energy formulas. The force does not stay constant while the wire stretches — it grows from zero to F — so the work done is the average force times the extension, not F times the extension.
Ten questions. Give yourself ten minutes.
Write your answers down before you scroll. A question you looked up is a question you have not answered.
Q1. Hooke’s law holds good up to the
- (a) elastic limit
- (b) proportional limit
- (c) breaking point
- (d) yield point
Q2. The SI unit of Young’s modulus is
- (a) N
- (b) N/m
- (c) N/m2
- (d) it has no unit
Q3. A wire of length L and cross-section A stretches by l under a force F. Its Young’s modulus is
- (a) FL/Al
- (b) Fl/AL
- (c) FA/Ll
- (d) AL/Fl
Q4. If the radius of a wire is doubled while the length and the load stay the same, the extension becomes
- (a) half
- (b) one-fourth
- (c) double
- (d) four times
Q5. A wire of length L and area of cross section A is stretched by a force F and its length increases by l. Its Young’s modulus is
- (a) FL/Al
- (b) Fl/AL
- (c) FA/Ll
- (d) FLl/A
Q6. A wire breaks under a certain load. Another wire of the same material and the same length but twice the diameter will break under a load that is
- (a) twice as large
- (b) half as large
- (c) four times as large
- (d) the same
Q7. Of these four materials, the most elastic is
- (a) rubber
- (b) steel
- (c) copper
- (d) glass
Q8. Bulk modulus measures a body’s resistance to a change in its
- (a) length
- (b) shape
- (c) volume
- (d) density alone
Q9. A steel wire 1 m long of cross-section 10−6 m2 has Y = 2 × 1011 N/m2. The force needed to stretch it by 1 mm is
- (a) 20 N
- (b) 200 N
- (c) 2000 N
- (d) 2 N
Q10. The modulus of rigidity is another name for the
- (a) Young’s modulus
- (b) shear modulus
- (c) bulk modulus
- (d) compressibility
Answer key, with a hint for each
| Q1 | (b) | Stress stays proportional to strain only up to the proportional limit. The elastic limit comes a little after it. |
| Q2 | (c) | Strain has no unit, so a modulus carries the unit of stress, which is N/m2 or pascal. |
| Q3 | (a) | Rearrange Y = stress/strain = (F/A)/(l/L). |
| Q4 | (b) | Area goes as r2, and extension goes as 1/A. Doubling the radius makes the area four times, so the extension drops to a quarter. |
| Q5 | (a) | Y = stress / strain = (F/A) ÷ (l/L) = FL/Al. Put the big length on top and the small extension below. |
| Q6 | (c) | Breaking stress belongs to the material, not to the wire. Load = breaking stress × area, and doubling the diameter makes the area four times. |
| Q7 | (b) | Elasticity is about how strongly a body resists being deformed, not how far it stretches. Steel resists the most, so steel is the most elastic. Rubber is the least. |
| Q8 | (c) | Bulk modulus is about squeezing from all sides, so it is a volume change. Shape change belongs to the shear modulus. |
| Q9 | (b) | F = YAΔL/L = 2 × 1011 × 10−6 × 10−3 / 1. |
| Q10 | (b) | Shear modulus and modulus of rigidity are the same quantity, written η or G. |
Now mark yourself honestly
NEET(UG) marks the way it marks. Use the same rule here:
- +4 for a right answer
- −1 for a wrong one
- 0 for a blank
So ten questions here are out of 40. In the real paper, 45 Physics questions are out of 180.
If you scored 32 or more, the basics of this chapter are secure. Move to harder questions, not more of these.
If you scored below 24, do not feel bad about it. You have just found out something useful before the exam did. Go back to the formula table above, learn it properly, and sit these ten again tomorrow.
And if you guessed a few and they landed, count those as wrong. A guess that works once will not work in May.
The full chapter, on a clock
Ten questions tell you a little. Forty-five tell you the truth.
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