A wave in a string has an amplitude of \( 2 \mathrm{~cm} \). The wa...

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A wave in a string has an amplitude of \( 2 \mathrm{~cm} \). The wave travels in the +ve direction of \( x \) axis with a speed of \( 128 \mathrm{~m} / \mathrm{s} \) and it is noted that 5 complete waves fit in \( 4 \mathrm{~m} \)
\( \mathrm{P} \) length of the string. The equation describing the wave is

W
[CBSE PMT 2009]
(a) \( y=(0.02) m \sin (7.85 x+1005 t) \)
(b) \( y=(0.02) m \sin (15.7 x-2010 t) \)
(c) \( y=(0.02) m \sin (15.7 x+2010 t) \)
(d) \( y=(0.02) \mathrm{m} \sin (7.85 x-1005 t) \)
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