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A pop-gun consists of a cylindrical barr...

A pop-gun consists of a cylindrical barrel 3cm2 in cross-section closed at one end by a cork and having a well fitting piston at the other. If the piston is pushed slowly in, the cord is finally ejected, giving a pop, the frequency of which is found to be 512Hz. Assuming that the initial distance between the cork and the piston was 25cm and there is no leakage of air, If the force required to eject the cork is 0.75 x xkg-wt. Find the value of x. Atmospheric pressure = `1kg wt//cm^2`, v = 340 m/s.

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