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JEE PHYSICS MCQ: CURRENT ELECTRICITY

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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 10 cm10 \mathrm{~cm} and that of the other tube is 20 cm20 \mathrm{~cm}. Sparking starts in both the tubes when the potential difference between the cathode and the anode is 100 V100 \mathrm{~V}. If the pressure in the shorter tube is 1.0 mm1.0 \mathrm{~mm} of mercury, what is the pressure in the longer tube?
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Correct option: A
0.5 mm0.5 \mathrm{~mm} of mercury
Option A (0.5 mm0.5 \mathrm{~mm} of mercury) is correct because the sparking potential depends on the product of pressure and distance.

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