The frequency of tunning for is 384Hz and velocity of sound in air is 352m/s . How far the sound has transversed while fork complete 36 vibrations ? a) 33m b) 36m c) 352m d) 72m

Given:

• Frequency of tuning fork, $f=384\text{Hz}$
• Velocity of sound in air, $v=352\text{m/s}$
• Number of vibrations, $n=36$

Step 1: Calculate the time taken for 36 vibrations. $$t=\frac{n}{f}=\frac{36}{384}=0.09375\text{s}$$

Step 2: Calculate the distance traveled by sound in this time. $$\text{Distance}=v\times t=352\times 0.09375=33\text{m}$$

Final Answer: 33 m (Option a)