An air column in tun=be 32cm long, closed at one end, is in resonace with a tuning fork. The air column in another tube, open at both ends, of length 66cm is in resonance with another tuning frok.When those two tuning forks are sounded together , they produce 8 beats per second together, they produce 8 beats per second. then the frquencies of the twpo tuning forks are, (consider fundamental frequencies only)

Options

A. `250Hz`, `258Hz`
B. `240Hz`, `248Hz`
C. `264Hz`, `256Hz`
D. `280Hz`, `272Hz`

Answer

C

Explanation

`n_(1)=(v)/(4l_(1))` and `n_(2)=(v)/(2l_(2))` given `l_(1)=32cm`,
`l_(2)=66cm` and `n_(1)-n_(2)=8heat//s`