Express T in terms of f, l and k, where k is constant

Question

The frequency of vibration,f, of a stretched wire is directly proportional to the square root of the length,l, and inversely proportional to the square root of the tension, T in the wire.

Answer 1

f is directly proportional to the square root of l and inversely proportional to the square root of T.

f=k * square root of l and all divided by the square root of T

Square both sides

f^2= k^2 * l/T

T*f^2 = k^2 * l

dividing both sides by f^2,

T= k^2*l ÷ f^2