question_answer

A sitar wire and a tabla, when sounded together, produce 5 beats per second. What can be concluded from this? If the tabla membrane is tightened, will the beat rate increase or decrease?

Answer:

                If\[{{v}_{1}}\] and\[{{v}_{2}}\] are the frequencies of sitar wire and the tabla membrane, then                        \[{{v}_{1}}\tilde{\ }{{v}_{2}}=5\] If the tabla membrane is tightened i.e., tension is increased, the frequency \[({{v}_{2}})\] of the sound produced by the tabla will increase. If \[{{v}_{1}}>{{v}_{2}},\] the beat frequency will decrease. And if\[{{v}_{1}}<{{v}_{2}}\], the beat frequency will increase.