Question

The frequency of a tuning fork is $220\ \text{Hz}$ and the velocity of sound in air is $330\ \text{m/s}$. When the tuning fork completes $80$ vibrations, the distance travelled by the wave is

• A. $100\ \text{m}$
• B. $60\ \text{m}$
• C. $53\ \text{m}$
• D. $120\ \text{m}$

Hint:

Distance travelled by a wave equals wave speed multiplied by total time of vibration.

Answer 1

The Correct Option is D

Step 1: Find time for one vibration.
\[ T = \dfrac{1}{f} = \dfrac{1}{220}\ \text{s} \] Step 2: Find total time for 80 vibrations.
\[ t = 80 \times \dfrac{1}{220} = \dfrac{80}{220}\ \text{s} \] Step 3: Calculate distance travelled by sound.
\[ d = vt = 330 \times \dfrac{80}{220} \] Step 4: Simplify.
\[ d = 120\ \text{m} \]