Wave Motion — Prelims Questions

A transverse wave is propagating on a stretched string. The tension in the string is $16\,\text{N}$ and its linear mass density is $0.01\,\text{kg/m}$. If the frequency of the wave is $200\,\text{Hz}$, what is the wavelength of the wave?

Which of the following statements is INCORRECT regarding wave motion?

A sound wave travels in a medium. If its frequency is $500\,\text{Hz}$ and its wavelength is $0.68\,\text{m}$, what is the speed of the sound wave in that medium?

Two waves, $y_1 = A \sin(kx - \omega t)$ and $y_2 = A \sin(kx - \omega t + \pi)$, superpose. What is the amplitude of the resultant wave?

The speed of sound in air at $0^\circ\text{C}$ is approximately $331\,\text{m/s}$. What would be the approximate speed of sound in air at $27^\circ\text{C}$? (Assume air behaves as an ideal gas and $\gamma$ and $M$ are constant.)

A wave is described by the equation $y(x, t) = 0.05 \sin(2\pi x - 4\pi t)$, where $x$ and $y$ are in meters and $t$ is in seconds. What is the frequency and wavelength of this wave?