
Which of the following is the correct order of magnitude of various elastic moduli in materials like aluminium and copper?
(A) Young’s moduli < Shear moduli < Bulk moduli
(B) Bulk moduli < Shear moduli < Young’s moduli
(C) Shear moduli < Young’s moduli < Bulk moduli
(D) Bulk modulus < Young’s moduli < Shear moduli
Answer
139.5k+ views
1 likes
Hint: In the stress – strain curve, the region which is in elastic limit describes the maximum stress the material will take before deforming permanently. The ratio between stress and strain is the modulus of elasticity. Elastic moduli are of three types – Young’s modulus, Shear modulus and Bulk modulus.
Complete step by step solution:
From the stress – strain curve, the region which is in elastic limit describes the maximum stress the material will take before deforming permanently. This region is important to manufacturing and structural sectors.
The elastic modulus can be defined as the ratio between stress and strain.
There are three types of elastic moduli:
Young’s modulus – Young’s modulus can be defined as the mechanical property to withstand the compression and elongation with respect to its length. It is denoted by . It quantifies the relationship between stress and strain. It is the measure of mechanical properties of linear elastic solids.
Shear modulus – This modulus can be defined as the ratio between shear stress and shar strain. It can be denoted by . The S.I unit of shear modulus is pascals but it is generally expressed in gigapascals.
Bulk modulus – It is used to measure the resistance property of the substance. It describes how resistant to compression the substance is. It is denoted by .
Now, the magnitude of various elastic moduli of copper are –
Therefore, for copper, Shear moduli < Young’s moduli < Bulk moduli
Hence, the correct option is (C).
Note: The Young’s modulus can describe the ability of the body to resist deformation on the application of force, so by using the value of Young’s modulus of the material we can also determine the rigidity of the body.
Complete step by step solution:
From the stress – strain curve, the region which is in elastic limit describes the maximum stress the material will take before deforming permanently. This region is important to manufacturing and structural sectors.
The elastic modulus can be defined as the ratio between stress and strain.
There are three types of elastic moduli:
Young’s modulus – Young’s modulus can be defined as the mechanical property to withstand the compression and elongation with respect to its length. It is denoted by
Shear modulus – This modulus can be defined as the ratio between shear stress and shar strain. It can be denoted by
Bulk modulus – It is used to measure the resistance property of the substance. It describes how resistant to compression the substance is. It is denoted by
Now, the magnitude of various elastic moduli of copper are –
Therefore, for copper, Shear moduli < Young’s moduli < Bulk moduli
Hence, the correct option is (C).
Note: The Young’s modulus can describe the ability of the body to resist deformation on the application of force, so by using the value of Young’s modulus of the material we can also determine the rigidity of the body.
Recently Updated Pages
JEE Main Participating Colleges 2024 - A Complete List of Top Colleges

JEE Main Maths Paper Pattern 2025 – Marking, Sections & Tips

Sign up for JEE Main 2025 Live Classes - Vedantu

JEE Main 2025 Helpline Numbers - Center Contact, Phone Number, Address

JEE Main Course 2025 - Important Updates and Details

JEE Main 2025 Session 2 Form Correction (Closed) – What Can Be Edited

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

JEE Main Exam Marking Scheme: Detailed Breakdown of Marks and Negative Marking

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

JEE Main 2025: Conversion of Galvanometer Into Ammeter And Voltmeter in Physics

Other Pages
Units and Measurements Class 11 Notes: CBSE Physics Chapter 1

JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

NCERT Solutions for Class 11 Physics Chapter 1 Units and Measurements

Motion in a Straight Line Class 11 Notes: CBSE Physics Chapter 2

Important Questions for CBSE Class 11 Physics Chapter 1 - Units and Measurement

NCERT Solutions for Class 11 Physics Chapter 2 Motion In A Straight Line
