Volume of mercury in the bulb of a thermometer is 10-6m3, area of cross section of capillary tube is 2×10-7m2 . If the temperature is raised by 100∘C , the length of mercury is (γHg=18×10−5 ∘C-1 )
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a
9 cm
b
9 mm
c
18 cm
d
5 cm
answer is A.
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Detailed Solution
volume of mercury in the bulb of thermometer is V=10-6m3: area of cross section of capillarty tube is A=2×10-7m2 change in temperature is ΔT=100oClength of mercury in the tube is l=?real expansion of mercury is γreav=γr=18×10-5∘c−1 γr =ΔVV.Δt γr=A×lV.Δt l=γr.V.ΔtA substitute the given valuesl=18×10−5×10−6×1002×10−7 l=9×10-2m L=9 cm