Question

The frequency of a tuning fork is $256 \text{ Hz}$. It will not resonate with the tuning fork of frequency}

• A. 256 Hz
• B. 512 Hz
• C. 754 Hz
• D. 768 Hz

Hint:

Resonance = Fundamental frequency $\times$ Integer.

Answer 1

The Correct Option is C

Step 1: Concept
Resonance occurs when the driving frequency is equal to the natural frequency or an integral multiple (harmonics) of the natural frequency.

Step 2: Meaning
Resonating frequencies for a $256 \text{ Hz}$ fork would be $256 \times n$, where $n = 1, 2, 3 \dots$.

Step 3: Analysis
(A) $256 \times 1 = 256$. (B) $256 \times 2 = 512$. (D) $256 \times 3 = 768$. All these are multiples. $754$ is not a multiple of $256$.

Step 4: Conclusion
Tuning fork of frequency $754 \text{ Hz}$ will not resonate with $256 \text{ Hz}$. Final Answer: (C)