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Paschen found that the spark ing potenti...

Paschen found that the spark ing potential of a gas in a discharge tube is the function of the product of

A

pressure of the gas and separation between the plates

B

squared pressure and plate distance

C

squared pressure and squared plate distance

D

pressure of the gas and reciprocal of distance between the plates

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Consider a cylindrical tube closed at one end and fitted with a conducting, movable piston at the other end. A cathode is fixed in the tube near the closed end and an anode is fixed with the piston. A gas is filled in the tube at pressure p . Using Paschen equation V = f(pd), show that the sparking potential does not change as the piston is slowly moved in or out. Assume that the temperature does not change in the process.

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Two discharge tubes have identical material structure and the same gas is filled in them. The length of one tube is 10cm and that of th other tube is 20cm. Sparking starts in both the tubes when the potential difference between the cathode and the anode is 100 V . If the pressure in the shorter tube is 1.0 mm of mercury, what is the pressure in the longer tube?

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