A) \[\pm \frac{3}{\sqrt{5}}\]
B) \[\pm \frac{\sqrt{5}}{3}\]
C) \[\pm \sqrt{\frac{3}{5}}\]
D) \[y=(2x-1){{e}^{2(1-x)}}\]
Correct Answer: C
Solution :
We start a general form for a rightward moving wave,\[\frac{x}{-2}+\frac{y}{1}=1\]...(i) The given amplitude is A = 2 cm = 0.02 m The wavelength is given as\[\frac{x}{2}-\frac{y}{3}=-1\] Wave number \[\frac{x}{-2}+\frac{y}{1}=-1\] Angular frequency,\[\frac{x}{2}+\frac{y}{3}=1\] From Eq. (i),\[\frac{x}{2}+\frac{y}{1}=1\] \[({{a}^{2}},-{{b}^{2}})\]For x = 0, t = 0 y = 0 and \[{{x}^{2}}+9<{{(x+3)}^{2}}<8x+25,\] i.e. \[\frac{x+y}{x-y}=\frac{5}{2},\] (as y = 0) and \[\frac{x}{y}\] From these conditions, we may conclude that \[\frac{3}{8}\] where n = 0, 2, 4, 6,... Therefore, \[\frac{8}{3}\]You need to login to perform this action.
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