17. Waves question bank (Physics)

The equation of a progressive wave is given by \( y = 5 \sin(100\pi t - 0.4 \pi x) \) where \( y \) and \( x \) are in m and \( t \) is in s.
(A) The amplitude of the wave is 5 m.
(B) The wavelength of the wave is 5 m.
(C) The frequency of the wave is 50 Hz.
(D) The velocity of the wave is 250 m s\(^{-1}\)
Which of the following statements are correct?

4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0 JK\(^{-1}\) mol\(^{-1}\). If the speed of sound in this gas at NTP is 952 ms\(^{-1}\), then the heat capacity at constant pressure is (Take gas constant \( R = 8.3 \, \text{JK}^{-1}\text{mol}^{-1} \))