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#elasticity

7 public questions tagged with this topic.

Wave Speed, Energy and Power

Why is the speed of sound higher in solids than in liquids?

**Energy transport** in waves scales with amplitude squared A² and frequency squared ω². Wave speed determines propagation rate, and understanding T and μ allows quantitative prediction of v and associated frequencies. Solids have greater elastic moduli (bulk and shear) than liquids, increasing the speed of sound ( v = √((elastic modulus/rho)) ), despite higher density, as elasticity dominates. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Greater elastic modulus, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Wave Speed, Energy and Power

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Wave Speed, Energy and Power

What is the primary factor affecting the speed of sound in a solid rod compared to a gas?

**Energy transport** in waves scales with amplitude squared A² and frequency squared ω². Wave speed determines propagation rate, and understanding T and μ allows quantitative prediction of v and associated frequencies. In solids, sound speed depends on Young’s modulus ( v = √((Y/rho)) ), which measures stiffness and is much higher in solids than the bulk modulus in gases, leading to faster sound propagation. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Stiffness, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Wave Speed, Energy and Power

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Wave Equation and Displacement Relation

A copper rod of density 8960 kg/m³ has a speed of sound of 3600 m/s. What is its Young’s modulus?

**Sinusoidal wave form** represents harmonic wave where each particle executes SHM. Coefficients of x and t give spatial and temporal periodicities, allowing wavelength and period extraction, basis for wave analysis in NCERT. Speed: v = √((Y/rho)) . 3600 = √((Y/8960)) ⇒ 3600² = (Y/8960) . Y = 3600² × 8960 = 1.16 × 10¹¹ Pa . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 1.16 × 10¹¹ Pa, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Wave Equation and Displacement Relation

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Stress, Strain and Hooke's Law

What does the steepness of the initial linear portion of a stress-strain curve indicate?

The steepness of the initial linear portion indicates a higher Young’s modulus, meaning the material is stiffer and requires more stress to produce a given strain. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Higher Young’s modulus. This satisfies dimensional consistency and physical conditions given, so option D is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Cell Communication and ECM

Elastin fibers are especially abundant in

Skin and lungs, is consistent with established principles of cell signaling, receptor pharmacology and cellular regulation. Experimental measurements of binding parameters, genetic loss-of-function studies and pharmacological interventions all converge on the same interpretation. Related options address neighboring concepts but do not satisfy the precise criterion stated in the question.

Ref: NCERT Biology Class 11–12 Alberts et al Molecular Biology of the Cell Lodish et al, Molecular Cell Biology Cooper & Hausman, The Cell Abbas et al., Cellular and Molecular Immunology (for immunology sections)

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Protein

Which protein is responsible for the extensibility and elasticity of connective tissue?

Elastin is the scientifically accurate answer to this question. Within the study of Protein, this concept is well-established through extensive research and is documented in standard scientific literature. The specific properties, mechanisms, or characteristics of Elastin directly address what is being asked. Among the other options, Actin, Collagen, and Myosin do not correctly answer this question because they either refer to different concepts, describe properties of other molecules or processes, or represent common misconceptions about this topic.

Ref: Lehninger Principles of Biochemistry, Nelson & Cox, 8th Ed., Ch. 4

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