A standing wave exists in a string of length \( 150 \mathrm{~cm} \) fixed at both ends. The disp...

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A standing wave exists in a string of length \( 150 \mathrm{~cm} \) fixed at both ends. The displacement amplitude of a point at a distance of \( 10 \mathrm{~cm} \) from one of the ends if \( 5 \sqrt{3} \mathrm{~mm} \). The distance between two nearest points, within the same loop having the same displacement amplitude of \( 5 \sqrt{3} \) is \( 10 \mathrm{~nm} \).

The maximum displacement amplitude of the particle in the string is :
(A) \( 10 \mathrm{~mm} \)
(B) \( (20 / \sqrt{3}) \mathrm{mm} \)
(C) \( 10 \sqrt{3} \mathrm{~mm} \)
(D) \( 20 \mathrm{~mm} \)
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