Question

A wire of length 80 cm has a frequency of 256 Hz. If another wire of same material and same diameter has frequency of 1024 Hz, the length of wire is:

Options

• 20 cm

• 24 cm

• 26 cm

• 16 cm

Answer 1

20 cm

Explanation:

For wires of the same material and diameter under the same tension, frequency is inversely proportional to length.

$$L_2 = 80 \times \frac{256}{1024} = 20\ \text{cm}$$