The fundamental frequency of a plucked wire under a tension of 400N is 250Hz. When the frequency is changed to 500 Hz at constant length, the tension is

Correct Answer: Option A

Explanation:
The fundamental frequency is related to tension as
F âˆ âˆšT => F = K

âˆšT

âˆ´ F₁= F₂=> 250 = 500

âˆšT₁

âˆšT₂

âˆš400

âˆšT₂

âˆ´âˆšT₂ = 500 âˆš400 = 2 x 20

250

âˆ´ T₂ = 40² = 1600N

The fundamental frequency of a plucked wire under a tension of 400N is 250Hz. When the ...