Two wires on a piano are the same length and are stretched to the same tension. Wire 1 vibrates at...

Question

Two wires on a piano are the same length and are stretched to the same tension. Wire 1 vibrates at afrequency 1.5 times that of wire 2. Calculate the ratio of their masses (m1/m2).

David · Accepted Answer

Q. Two wires on a piano are the same length and are stretched to the same 
tension. Wire 1 vibrates at a  frequency 1.5 times that of wire 2. Calculate the 
ratio of their masses (m1/m2). 
Sol.  
The wire of a piano acts like a stretched string whose frequency is given by the 
equation,

Two wires on a piano are the same length and are stretched to the same tension. Wire 1 vibrates at a frequency 1.5 times that of wire 2. Calculate the ratio of their masses (m1/m2).

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