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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