Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string having a linear mass density equal to 4.00×10−2kg/m. If the source can deliver a maximum power of 90 W and the string is under a tension of 100 N, then the highest frequency at which the source can operate it, is (take π2=10)
The correct option is B 30 Hz
P=12μω2 A2V using V=√TμP=12ω2 A2√Tμω=√2PA2√Tμ,f=ω2π=12π√2PA2√Tμ
Using the given data, we get f = 30 Hz.