Question:A glass tube of uniform bore and length 133cm is to be filled with mercury so that the volume of the tube above the mercury level remains same at all temperatures.Calculate the length of the mercury column .Given gamma glass=2.6*10^-5/degree celcius and gamma mercury =1.82*10^-5/degree celcius ?

Question

Jitendar mishra · Answer

Gamma of glass × lenght of glass = gamma of Mercury × length of Mercury And . 19 cm Ok any other questions

Guru Yash · Answer

As level is same at all temperature so, ∆L of glass =∆L of mercury We are given gamma of both but for linear expansion we consider alpha We know , gamma =3alpha Let's apply ∆L(g)=∆L(Hg) L * alpha(g)*∆T= L' * alpha(Hg)*∆T L*alpha(g)= L' * aplha(Hg) 133 * 3 * 2.6*10^-5 = L' *3*18.2*10^-5 L' = 19 cm

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