Two tunning forks A and B produce notes of frequencies 256 Hz & 262 Hz respectively. An unknown note sounded at the same time with A produce beats. When the note is sounded with B, beats frequency is twice as large. The unknown frequency could be
A. 256 Hz
B. 254 Hz
C. 300 Hz
D. 280 Hz
A. 256 Hz
B. 254 Hz
C. 300 Hz
D. 280 Hz
Correct Answer – B
`n_(A)=258` Hz and `n_(B)=262` Hz
Let n is the frequency of unknown tuning fork. It produces x beats with 258 and 2x with 262,
`implies 262-(258-x) =2x`
`implies 262-268+x=2x`
`implies x=4`
`implies n=254 Hz`