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# If the frequency of the tuning fork at resonance is 256Hz, calculate the frequen...

### Question

If the frequency of the tuning fork at resonance is 256Hz, calculate the frequency of vibration of the wire when the tension in he wire is increased to 196N

A) 130.6Hz

B) 182.9Hz

C) 358.4Hz

D) 501.8Hz

### Explanation:

$$\frac{f}{256} = \sqrt{\frac{196}{100}}$$

f = $$\sqrt{\frac{256^2 \times 196}{100}}$$

= 356.4Hz

## Discussion (2)

• $$\frac{f}{256} = \sqrt{\frac{196}{100}}$$

f = $$\sqrt{\frac{256^2 \times 196}{100}}$$

= 356.4Hz