Identify which of the following equation represents universal wave equation. (C:1)

Question

BlackTom AI · Accepted Answer

The problem asks us to identify which equation represents the universal wave relation.
Option a: v = λ / f. This is not the standard form; if you rearrange the correct relation v = fλ to solve for f, you would get f = v/λ, not v = λ/f. Therefore this option misplaces the variables.
Option b: v = fλ. This is the correct universal wave equation, expressing that the wave speed v equals the product of frequency f and wavelength λ. It directly ties together the three core quantities of wave motion in a simple multiplicative relationship.
Option c: v = 1 / (λ f). This form is dimensionally inconsistent with the standard wave relation and does not match the established linear dependence of v on f and λ. It introduces an inverse product that does not reflect wave behavior.
Option d: v = f/λ. This option presents a ratio rather than a product of frequency and wavelength, which contradicts the well-known proportional relationship in the wave equation. It would imply an inverse relationship to λ that is not present in the universal form.
In summary, only option b correctly captures the fundamental connection v = fλ between wave speed, frequency, and wavelength, while the other options misrepresent one or more of these quantities.

Identify which of the following equation represents universal wave equation. (C:1)

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