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Home / Doubts and Solutions/ICSE/Class 11 Science/Physics

Pls solve this

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Asked by pukai7229 4th November 2018, 8:26 AM
Answered by Expert
Answer:
We have the equation for volume expansion as, V = V0(1+γΔT) ,
where V0 is initial volume, V is the increased volume due to increase of temperature by ΔT
and γ is the volume expansion coefficient.
 
hence expanded volume of mercury = Vb×γm×ΔT ..................(1)
 
where Vb is volume of bulb of thermometer that has mercury, γm is volume expansion coefficient of mercury
and ΔT is increase of temperature.

This expanded volume of mercury will fill the stem. Hence stem volume = (π/4)×d2×h .................(2)
where d is the diameter of stem and h is rise of mercury in stem

BY equating eqn.(1) and (2), we get,  begin mathsize 12px style h space equals space fraction numerator V subscript b cross times gamma subscript m cross times increment T cross times 4 over denominator straight pi cross times straight d squared end fraction space equals space fraction numerator 0.3 cross times 1.82 cross times 10 to the power of negative 4 end exponent cross times 15 cross times 4 over denominator pi cross times 0.01 cross times 0.01 end fraction space equals space 10.43 space c m end style
Answered by Expert 4th November 2018, 9:43 AM
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