A certain string will resonant to several frequencies, the lowest of which is 200 cps. What are the next three higher frequencies to which it resonants?

Question

A certain string will resonant to several frequencies, the lowest of which is 200 cps. What are the next three higher frequencies to which it resonants? (A) 400, 600, 800 (B) 300, 400, 500 (C) 100, 150, 200 (D) 200, 250, 300

Tardigrade Admin · Accepted Answer

Resonant frequency occurs according to (n v/2 l) and when n=1 frequency is minimum. Hence (v/2 l)=200[n=1] Other resonant frequencies will be simply multiples of fundamental frequency.

Q. A certain string will resonant to several frequencies, the lowest of which is $200 c p s$ . What are the next three higher frequencies to which it resonants?

400, 600, 800

300, 400, 500

100, 150, 200

200, 250, 300

Resonant frequency occurs according to $\frac{n v}{2 l}$ and when $n = 1$ frequency is minimum.
Hence $\frac{v}{2 l} = 200 [n = 1]$
Other resonant frequencies will be simply multiples of fundamental frequency.

Q. A certain string will resonant to several frequencies, the lowest of which is 200cps. What are the next three higher frequencies to which it resonants?