Question

Fundamental frequency of a sonometer wire is n. lf the length and diameter of the wire are doubled keeping the tension same, then the new fundamental frequency is

(a) n/2√2

(b) √2   

(c) n/4

(d) 2n/√2   

Answer 1

Correct option (c) n/4

Explanation:

Fundamental frequency of a sonometer wire is given by,

Putting m in the formulae of fundamental frequency

By doubling length and diameter of the wire,