The vibrations of a string of length 60 cm fixed at both ends are represented by the equation y=4sin(πx15)cos(96πt) where x and y are in cm and 't' in seconds. the maximum displacement at x = 5 cm and the mode of vibration of the string are
A
2√3cm,5th mode
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B
2√3cm,4th mode
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C
3√2cm,2th mode
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D
√3cm,4th mode
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Solution
The correct option is B2√3cm,4th mode Hence, option (B) is correct answer.