A vibrating stretched string resonates with a tuning fork of freq… - Vidyadip

MCQ

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
0.25 m
B
0.75 m
✓
1.0 m
D
2.0 m

✓

Answer

Correct option: C.

1.0 m

1.0 m
Hint :
$v \propto \frac{1}{ L } \Rightarrow \frac{ L _2}{ L _1}=\frac{v_1}{v_2}$ or $L _2=\frac{v_1}{v_2} L _1=\frac{512 \times 0.5}{256 .}=1.0 m$

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