In the arrangement shown, a mass can be hung from a string with a linear mass density of \( 2 \t...

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In the arrangement shown, a mass can be hung from a string with a linear mass density of \( 2 \times 10^{-3} \mathrm{~kg} \mathrm{~m}^{-1} \), that passes over a light pulley. The string is connected to a vibrator of frequency \( 700 \mathrm{~Hz} \) and the length of the string between the vibrator and the pulley is \( 1 \mathrm{~m} \).

The string is set into vibrations and represented by the equation \( y=6 \sin \left(\frac{\pi x}{10}\right) \cos (14000 \pi t) \), where \( x \) and \( y \) are in \( \mathrm{cm} \) and \( t \) in second. The maximum displacement at \( x=5 \mathrm{~m} \) from the vibrator (in \( \mathrm{cm} \) )
(a) \( 2 \mathrm{~cm} \)
(b) \( 3 \mathrm{~cm} \)
(c) \( 6 \mathrm{~cm} \)
(d) \( 5 \mathrm{~cm} \)
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