Wave Motion — Flashcards

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A mechanical wave is a disturbance produced in a material medium and advancing with a definite speed in the medium without changing its form. Mechanical waves transmit energy and momentum, not matter,…

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Mechanical waves travel by passing disturbance from one particle of the medium to the next. This transfer needs elasticity to restore the particles and inertia to keep them moving. Without a material …

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Given: T = 100 N, m = 0.50 kg m^-1 Formula: v = √(T/m) Step 1: T/m = 100 / 0.50 = 200 N (kg^-1 m) Step 2: v = √200 m s^-1 Step 3: v = 14.14 m s^-1 Answer: 14.1 m s^-1…

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Formula: v = √(η/ρ) Here, η is modulus of rigidity and ρ is density. Units: η in N m^-2, ρ in kg m^-3, so v in m s^-1. This shows that greater rigidity increases speed and greater density decreases sp…

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Transverse waves need shear rigidity, which is available in solids. Liquids and gases cannot sustain shear deformation for long. Longitudinal waves need compressions and rarefactions, so they can trav…

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Given: T = 49 N, m = 0.020 kg m^-1 Formula: v = √(T/m) Step 1: T/m = 49 / 0.020 = 2450 Step 2: v = √2450 m s^-1 Step 3: v = 49.5 m s^-1 Answer: 49.5 m s^-1…

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Formula: v = √(stress/density) Here, stress = T/(πr^2) and density is the density of the string material. This form is useful when tension and cross-sectional area are known.

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Given: stress = 9.0 × 10^7 N m^-2, density = 900 kg m^-3 Formula: v = √(stress/density) Step 1: stress/density = (9.0 × 10^7) / 900 = 1.0 × 10^5 m^2 s^-2 Step 2: v = √(1.0 × 10^5) m s^-1 Step 3: v = 3…