Answer:
Resultant amplitude is 0.53 m.
Explanation:
Amplitude is defined as the maximum displacement of wave particles from their respective mean positions.
The resulting amplitude of any two waves is given by the relation :
A = [tex]\sqrt{A_{1} ^{2} + A_{2} ^{2} + 2A_{1}A_{2}\cos x }[/tex]
Here, A is resultant amplitude, A₁ and A₂ are the amplitudes of two waves respectively and x is the difference in phase angle of the two waves.
According to the problem, A₁ is 0.4 m , A₂ is 0.23 m and x is zero. So, the above equation becomes,
A = [tex]\sqrt{0.4^{2} + 0.23^{2} + 2\times 0.4\times 0.23\times cos 0 }[/tex]
A = [tex]\sqrt{0.16 + 0.053 + 0.184 }[/tex]
A = 0.63 m
