A string is rigidly tied at two ends and its equation of vibration is given by y=cos2πt sin2πx.  Then minimum length of string is

Given equation of stationary wave is y=sin2πx cos2πt, comparing it with standard equation y=2Asin2πxλcos2πvtλWe have 2πxλ=2πx⇒λ=1mMinimum distance of string (first mode) Lmin =λ2=12m