1.

A transverse wave of amplitude 0.5 m and wavelength 1 m and frequency 2 Hz is propagating in a string in the negative x-direction. The expression for this wave is  [AIIMS 1980]

A.            \[y(x,\,t)=0.5\sin (2\pi x-4\pi t)\]
B.            \[y(x,\,t)=0.5\cos (2\pi x+4\pi t)\]
C.            \[y(x,\,t)=0.5\sin (\pi x-2\pi t)\]
D.            \[y(x,\,t)=0.5\cos (2\pi x+2\pi t)\]
Answer» C.            \[y(x,\,t)=0.5\sin (\pi x-2\pi t)\]


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