In a sanometer experiment, resonance is obtained whth the experimental wire has a length of 21 cm between the bridges and the vibrations are excited by a tunning fork of frequency 256 Hz. If a tuning fork of frequency6 384 Hz is used, what should be the lenght of the experimental wire to get the resonance.

Explanation

To solve the problem, we will use the principle of resonance in a sonometer, which states that the product of the length of the wire and the frequency of the tuning fork is constant. This can be expressed mathematically as:

\[ L_1 \cdot f_1 = L_2 \cdot f_2 \]

Where:
- \( L_1 \) is the initial length of the wire (21 cm),
- \( f_1 \) is the initial frequency (256 Hz),
- \( L_2 \) is the new length of the wire (which we need to find),
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