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A tuning fork P of unknown frequency giv...

A tuning fork `P` of unknown frequency gives `7` beats in `2` seconds with another tuning fork `Q` is moved towards a wall with a speed of `5 m//s`, it gives `5` beats per second for an observer located left to it. On filling, `P` gives `6` beat per second with `Q`. The frequency (in Hz) of `P` is given by `(80 xx alpha)+beta, (alpha, beta in I, 0 le alpha, beta le 9)` then find the value of `alpha + beta`. Assume speed of sound `= 332 m//s`.

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