1.

A fork A has frequency 2% more than the standard fork and B has a frequency 3% less than the frequency of same standard fork. The forks A and B when sounded together produced 6 beats s^(-1) . The frequency of fork A is

Answer»

116.4 Hz
120 Hz
122.4 Hz
238.8 Hz

Solution :LET `UPSILON` be frequency of standard fork. The frequency of A, `upsilon_A=upsilon+2/100 upsilon`
the frequency of B, `upsilon_B=upsilon-3/100upsilon`
According to QUESTION ,
`upsilon_A-upsilon_B=6`
`therefore (upsilon+ 2/100upsilon)-(upsilon-3/100upsilon)=6`
`5/100 upsilon =6` or `upsilon=600/5`=120 Hz
The frequency of A
`upsilon_A=(upsilon + 2/100upsilon)=120+ 2/100 XX 120` = 122.4 Hz


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