The square root of the ratio of elasticity to mass density is equal to:
Correct answer: B. Product of frequency and wavelength
- A. Force
- B. Product of frequency and wavelength
- C. Co-efficient of viscosity
- D. Refractive index
Explanation
The correct answer is the product of frequency and wavelength. This relationship arises from the wave equation, where the speed of sound in a medium is given by the square root of the ratio of the elastic modulus (elasticity) to the mass density. Therefore, the square root of this ratio yields the speed of sound, which directly relates to how waves propagate through solids.Option A, Force, is incorrect because force is not a derived quantity from elasticity and mass density in this context. Option C, Co-efficient of viscosity, pertains to fluid dynamics and is unrelated to the elastic properties of solids. Lastly, Option D, Refractive index, is a concept in optics and does not apply to the relationship expressed in the question.
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About Physics of Solids
Solids are compared through crystal structure, amorphous arrangement, elasticity, plastic deformation, stress, strain and Young’s modulus. Electrical behavior depends on available charge carriers and band structure, so conductors, insulators and semiconductors must be distinguished from mechanical properties such as strength, stiffness and brittleness.
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