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

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A vibrator makes \( 150 \mathrm{~cm} \) of a string vibrate in 6 loops in the longitudinal arrangement when it is stretched by \( 15 \mathrm{~g} \). The entire length of the string is then weighed and is found to weigh \( 500 \mathrm{mg} \). What is the frequency of the vibrator? What is the distance between two nodes ?
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