A) \[y=0.1\text{ }\sin \,(4\pi (t-1)+8(x-2))\]
B) \[y=0.1\text{ }\sin \,((t-1)-(x-2))\]
C) \[y=0.1\text{ }\sin \,(2\pi (t-1)+4(x-2))\]
D) None of these
Correct Answer: C
Solution :
The equation of wave moving in negative x-direction, assuming origin of position at x = 2 and origin of time (i.e. initial time) at t = 1 sec. \[y=0.1\sin (2\pi t+4x)\] Shifting the origin of position to left by 2m, that is, to x = 0. Also shifting the origin of time backwards by 1 sec, that is to t = 0 sec. \[y=0.1\sin (2\pi (t-1)+4(x-2)\]You need to login to perform this action.
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