Wave Motion

The speed of transverse waves is given by , where is the tension and is the density. The ratio of the speeds of the waves is the square root of the ratio of the tension to the density. Given the ratio of the radii and densities, we find the ratio of the speeds to be 1:16. Thus, the correct answer is option (1).

The relationship between wave speed , frequency , and wavelength is given by: When a wave travels from one medium to another (e.g., shallow to deep water), its frequency remains constant. Therefore, any change in speed will directly affect the wavelength. If speed doubles ( ), and remains the same: Hence, the wavelength also doubles.