A vibrating stretched string resonates with a tuning fork of frequency 512 Hz when the length of the string is 0.5 m . The length of the string required to vibrate resonantly with a tuning fork of frequency 256 Hz would be ……… .

A vibrating stretched string resonates with a tuning fork of frequency

1.	A vibrating stretched string resonates with a tuning fork of frequency 512 Hz when the length of the string is 0.5 m . The length of the string required to vibrate resonantly with a tuning fork of frequency 256 Hz would be ……… .
Answer» 0.25 m 0.75 m `1.0` m `2.0` m Solution :`v prop (1)/(L) IMPLIES (L_(2))/(L_(1)) = (v_(1))/(v_(2))` or `L_(2) = (v_(1))/(v_(2)) L_(1) = (512 xx 0.5)/(256) = 1.0` m