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A faulty mercury thermometer has a stem of uniform cross section marked in mm. If this reads 83 mm instead of 80 mm at LEP and 229 mm instead of 220 mm at UFP, find the difference in the length of the mercury thread in both the faulty and correct thermometers at 250^(@)C. (Take LFP =0^(@)C and UFP =100^(@)C) |
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Answer» Solution :(i) The relation comparing two SCALES is given by: `((S-LFP)/(UFP-LFP))_("correct")=((X-LFP)/(UFP-LFP))_("faulty")"(1)"` First find the length of the mercury thread at `250^(@)C` in correct thermometer by comparing it with celcius scale by using (1). Take it as `l_(1)`. Similarly, find the length of mercury thread at `250^(@)C` in faulty thermometer by comparing it with celcius scale. Make USE of (1) consider the length as `l_(2)." Find the VALUE "l_(2)-l_(1).` (ii) 18 mm |
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