Q.

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 )

Moderate

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By Expert Faculty of Sri Chaitanya

a

9 cm

b

9 mm

c

18 cm

d

5 cm

answer is 1.

(Detailed Solution Below)

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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
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