A vibrator makes \( 150 \mathrm{~cm} \) of a string to vibrate in (IV 6 loops in the longitudina...

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A vibrator makes \( 150 \mathrm{~cm} \) of a string to vibrate in
(IV 6 loops in the longitudinal arrangement when it is stretched by \( 150 \mathrm{~N} \). The entire length of the string is then weighed and is found to weigh \( 400 \mathrm{mg} \). Then
(1) frequency of the vibrator is \( 3 \mathrm{kHz} \)
(2) frequency of the vibrator is \( 1.5 \mathrm{kHz} \)
(3) distance between two nodes is \( 25 \mathrm{~cm} \)
(4) distance between two nodes is \( 33 \mathrm{~cm} \)
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