Class 11 · Physics · T/F Drill

Mechanical Properties of Solids · True / False

Sharpen your concept‑level accuracy with a rapid‑fire True / False set on stress, strain, elastic moduli and design concepts.

Every statement here targets a subtle idea from this chapter — perfect for last‑minute revision and checking hidden misconceptions before exams.

Start True / False Quiz View Exam Hacks
What This Set Covers
25
Statements
10 min
Target Time
High
Concept Load
Stress vs strain basics Y, G, B & units Poisson’s ratio Beams & bending Factor of safety Energy density

Quick Snapshot of Concepts Tested

Core Definitions

Correct meaning of stress, strain, Young’s modulus, shear modulus, bulk modulus and Poisson’s ratio — and where students usually flip numerator and denominator.

Graph & Material Behaviour

Identification of Hooke’s law region, elastic limit, ductile vs brittle behaviour and how extension depends on length and diameter of a wire.

Design & Energy Ideas

Bending of beams, hollow vs solid sections, factor of safety, hydraulic systems and the elastic energy density \( \tfrac{1}{2}\sigma\varepsilon \).

Why This True / False Set Matters

Perfect for Concept Polishing

Many JEE / NEET and board questions hide behind one subtle line — like “unit of strain” or “sign in bulk modulus”. This T/F drill ensures those basics are crystal clear.

Fast Diagnostic Tool

In under 10 minutes you can detect if you are mixing up Y with G or B, confusing ductile vs brittle behaviour, or mis‑using energy and design formulas.

Key Ideas Hidden in the Statements

Definitions & Units

• Stress is restoring force per unit area, but strain is a unitless ratio.
• All three elastic moduli share the SI unit of pressure (N m\(^{-2}\)).
• Young’s modulus is stress over strain, not the other way around.

Behaviour & Geometry

• Long wires stretch more; thicker wires stretch less for the same load.
• Ductile materials show a long plastic region, brittle ones hardly any.
• Beam depth matters far more than breadth in resisting bending.

Design & Energy Concepts

• Factor of safety is ultimate stress divided by working stress.
• Elastic energy density in linear regime is \( \tfrac{1}{2}\sigma\varepsilon \).
• Hollow sections can give higher bending strength for same material & volume.

What These True / False Statements Touch

Concept Buckets
Stress vs strain definitions
Hooke’s law region
Elastic limit & rigidity
Young’s, shear & bulk modulus
Poisson’s ratio & lateral strain
Energy density \( \tfrac{1}{2}\sigma\varepsilon \)
Ductile vs brittle materials
Beams & bending strength
Hydraulic press & bulk modulus
Factor of safety
Relations between elastic constants
Jump to Related Notes

Use these quick links to revise any concept before or after attempting the statements.

True / False Exam Hacks

Spot the “Swap & Sign” Traps
  • Carefully check who is in numerator and denominator: Young’s modulus is stress / strain, not the reverse.
  • Strain is a pure ratio, so any statement giving it a unit like Pa is false.
  • Watch for sign hints in bulk modulus and compressibility definitions (pressure increase vs volume decrease).
Geometry & Material Intuition
  • Longer wires stretch more; thicker wires stretch less for the same load — keep \( \Delta L \propto \dfrac{L}{A} \) in mind.
  • Depth of a beam controls bending more strongly than breadth; hollow sections can outperform solid ones for the same material volume.
  • Ductile materials show a long plastic tail on the stress–strain curve; brittle materials almost jump from elastic region to fracture.
Begin True / False Practice Review Full Theory Notes
Your Progress 0 / 25 attempted
Q 01 / 25
Stress is defined as restoring force per unit area of cross section.
Q 02 / 25
Strain has the same SI unit as stress.
Q 03 / 25
Within elastic limit, stress is directly proportional to strain for many solids.
Q 04 / 25
Young’s modulus is the ratio of longitudinal strain to longitudinal stress.
Q 05 / 25
Shear modulus is relevant only for solids because only solids have definite shape.
Q 06 / 25
Bulk modulus is defined using change in length of a wire under tension.
Q 07 / 25
In a tensile test on a metal wire, the initial straight-line part of the stress–strain curve is the region where Hooke’s law holds.
Q 08 / 25
The elastic limit is the maximum stress up to which the body returns completely to its original configuration when the load is removed.
Q 09 / 25
A material with larger Young’s modulus is always weaker than a material with smaller Young’s modulus.
Q 10 / 25
For the same material and same cross-sectional area, a longer wire gives larger extension under a given load than a shorter wire.
Q 11 / 25
If the lateral dimension of a stretched wire decreases, the phenomenon is described using Poisson’s ratio.
Q 12 / 25
A perfectly rigid body has finite Young’s modulus.
Q 13 / 25
The SI unit of all three elastic moduli (Young’s, shear, bulk) is the same as that of pressure.
Q 14 / 25
Ductile materials typically show a long plastic region on the stress–strain curve before fracture.
Q 15 / 25
Brittle materials generally possess a very large strain at fracture and a large plastic region.
Q 16 / 25
For the same material in the linear regime, doubling the diameter of a wire (keeping length and load same) halves the extension.
Q 17 / 25
In a beam under bending, the top and bottom layers are both under pure tension.
Q 18 / 25
For a given material and span, increasing the depth of a rectangular beam is more effective in reducing bending than increasing its breadth.
Q 19 / 25
Hydraulic press operation relies on the fact that fluids have a very small bulk modulus compared to solids.
Q 20 / 25
For a uniform rod of given material and volume, a hollow circular cross section can give higher bending strength than a solid circular cross section.
Q 21 / 25
The factor of safety is defined as the ratio of ultimate stress to working (or allowable) stress.
Q 22 / 25
Under the same tensile force, the stress developed in a wire is independent of its cross-sectional area.
Q 23 / 25
A material with higher Young’s modulus will always have higher shear modulus than a material with lower Young’s modulus.
Q 24 / 25
For a homogeneous isotropic material, knowledge of any two independent elastic constants is sufficient to determine the others.
Q 25 / 25
In the linear elastic regime of a homogeneous rod under axial load, the stored elastic potential energy per unit volume is \(\dfrac{1}{2}\sigma\varepsilon\).
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ACADEMIA AETERNUM तमसो मा ज्योतिर्गमय · Est. 2025
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25 True or False: Mechanical Properties of Solids | Class 11 Physics
25 True or False: Mechanical Properties of Solids | Class 11 Physics — Complete Notes & Solutions · academia-aeternum.com
The chapter “Mechanical Properties of Solids” in NCERT Class XI Physics introduces how real solids deform, resist, and sometimes fail under external forces. Through concepts like stress, strain, elastic moduli, Poisson’s ratio, and the stress–strain curve, learners understand not only textbook definitions but also how engineers decide whether a bridge, a building, or a wire will remain safe in use. A carefully graded set of True and False questions helps students quickly revisit core formulas,…
🎓 Class 11 📐 Physics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
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