Equation of two simple harmonic waves is given by Y ₁=2 8 ( t 0.2 - x 2 ) m and Y ₂=4 8 ( t 0.16 - x 1.6 ) m then both waves have

Step-by-step solution

The two equations can be written as aligned & Y₁=2 2 ( 4 t 0.2 - 4 x 2 )=2 2 ( t 0.05 - x 0.5 ) & and Y₂=4 2 ( 4 t 0.16 - 4 x 1.6 )=2 2 ( t 0.04 - x 0.4 ) aligned Comparing with standard equation Y = A 2 ( t T - x ) We get, for the first wave, T =0.05 ~s and =0.5 ~m For the second wave, T =0.04 ~s and =0.4 ~m Hence their periods (hence frequencies) are not same. Their wavelength is also not same. For first wave, velocity = T = 0.5 0.05 =10 ~m / s For second wave, velocity 0.4 0.04 =10 ~m / s Hence velocity in same