A 660 Hz tuning fork sets up vibration in a string clamped at both ends. The wave speed for a transverse wave on this string is 220 m s − 1 and the string vibrates in three loops. (A) Find the length of the string. (B) If the maximum amplitude of a particle is 0 5 cm, write a suitable equation describing the motion.

A 660 Hz tuning fork sets up vibration in a string clamped at both ends. The wave speed for a transverse wave on this string is 220 m s⁻¹ and the string vibrates in three loops. (A) Find the length of the string. (B) If the maximum amplitude of a particle is 05 cm, write a suitable equation describing the motion.

We know that,

So,

So, no of loops=3

Now,

(A)

Say, the resultant wave equation is,

Putting values of ,f and A, we get,

(B)

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