i. Two waves travel on the same string. Is it possible for them to have (a) different frequencies; (b) different wavelengths; (c) different speeds; (d) different amplitudes; (e) the same frequency but different wavelengths? Explain your reasoning.
a.yes
b, yes.
c. no
d.yes
e.no
(a) Yes, it is possible for two waves to have different frequencies. The frequency of a wave refers to the number of complete oscillations it makes in a given time. Different waves can have different frequencies, meaning they oscillate at different rates. To determine the frequency of a wave, you can count the number of complete cycles it completes in one second, which is also referred to as Hertz (Hz).
(b) Yes, it is possible for two waves to have different wavelengths. The wavelength of a wave is the distance between two corresponding points on the wave, such as two crests or two troughs. Different waves can have different distances between these points, resulting in different wavelengths. You can measure the wavelength by measuring the distance between two points on the wave.
(c) Yes, it is possible for two waves to have different speeds. The speed of a wave depends on the properties of the medium it is traveling through. While the speed of a wave is determined by the product of frequency and wavelength (speed = frequency x wavelength), different waves can have different combinations of frequency and wavelength, resulting in different speeds.
(d) Yes, it is possible for two waves to have different amplitudes. The amplitude of a wave represents the maximum displacement from the equilibrium position. It determines the intensity or strength of the wave. Different waves can have different amplitudes, meaning they can reach different maximum displacements. You can measure the amplitude of a wave by measuring the distance from the equilibrium position to the crest or trough.
(e) Yes, it is possible for two waves to have the same frequency but different wavelengths. Remember, frequency is the number of complete cycles per second, while wavelength is the distance between two corresponding points on the wave. For example, if you have two waves with the same frequency, but one has a longer wavelength, it means that the distance between corresponding points on the wave is greater. In other words, the wave is more spread out compared to the one with a shorter wavelength.