Three consecutive resonant frequencies of a string are `90, 150` and `210 Hz`. If the length of the string is `80 cm`, what would be the seed (in `m//s`) of a transverse wave on this string ?

Options

A. 45m/s
B. 75m/s
C. 48m/s
D. 80m/s

Answer

C

Explanation

Fundamental frequency `f_(0) ` is HCF of 90,150 and 210 Hz i.e., 30 Hz
`C=2lf_(0)=2xx0.8xx30=48m//s`.