Show that the period of the fundamental mode of a stretched strings is equal to double the time the component waves forming stationary waves in the string take in traversing the distance between the fixed ends.

Explanation

We have ` c = sqrt(T//m)`. If `I =` distance between supports , then `tau` ( time to travel the distance between supports) ` = I//c`
The frequency of fundamental mode is
` n = (1)/( 2I) sqrt((T)/( m)) = (c )/( 2I)`
`:. Tau'` ( period of fundamental mode)
` tau' = (1)/(n) = ( 2I)/( c) = 2 tau`