Question

A wire of length 80 cm has a frequency of 256 Hz. Calculate the length of a similar wire under similar tension, which will have frequency 1024 Hz

Answer 1

Wavelength λ = 80 cm = 0.8 m
Frequency f₁ = 256 Hz
Frequency f₂ = 1024 Hz
By the relation,
Speed = Wavelength x Frequency

→ v₁ = f₁ x λ₁

→ v₁= 0.8 x 256

Also, v₂ = f₂ x λ₂

→ v₂ = 1024 x λ₂

Since v₁ = v₂

→ 0.8 x 256 = 1024 x λ₂

λ₂  = 0.2 m = 20 cm