Answer:
Step-by-step explanation:
A standing wave with one antinode in a string means fundamental mode of vibration being formed . In this case
wave length = 2 x length of string
λ = 2L
frequency = velocity of sound / wavelength
= V / 2L
f₀ = V / 2L
new length
l = L / 4
When one antinode now be formed on the string
again fundamental mode of vibration
wave length = 2 x length of string
λ₁ = 2l , λ₁ is new wavelength , l is new length .
frequency = velocity of sound / wavelength
F₀ = V / 2l , F₀ is new frequency,
F₀ = 4V / 2L
= 4 ( V / 2L )
= 4 x f₀
required frequency = 4f₀
four times the previous frequency will be required.