Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between-adjacent nodes is

When two identical waves travel in opposite directions, they interfere to form a standing wave [t4][t5]. The distance between adjacent nodes in a standing wave is equal to half of the wavelength (λ/2) [t4][t5]. To find the wavelength (λ), we use the fundamental wave relation v = fλ, where v is the wave speed and f is the frequency [t1][t3]. Given a speed (v) of 20 mm/s and a frequency (f) of 10 Hz, the wavelength is calculated as λ = v/f = 20 mm/s / 10 Hz = 2.0 mm [t1]. Consequently, the distance between adjacent nodes is λ/2 = 2.0 mm / 2 = 1.0 mm. The amplitude of the individual waves (1.5 mm) determines the maximum displacement at antinodes but does not affect the spatial positioning of the nodes [t5].