Question

a glass tube of uniform bore and length 133 cm is to be filled with mercury so that the volume of the tube above the mercury level remains same at all temperatures. calculate length of mercury column? gamma for glass=2.6×10-5. gamma for mercury=18.2×10-5​

Answer 1

Length of the mercury column is 19 cm.

Given-

• Length of glass tube = 133 cm
• Cubical coefficient of glass (γ glass) = 26 × 10⁻⁶
• Cubical coefficient of mercury (γ Hg) = 182 × 10⁻⁶

According to the question ,the change in the volume of glass and mercury will be same at all temperature. So

(V₀)glass .γ glass . t = (V₀)Hg . γ Hg . t

Let the length of the mercury column be x.

So,

(V₀)glass = a₀ l₀

(V₀)Hg = a₀ x

By substituting the value we get

a₀ l₀ .γ glass = a₀ x γ Hg

x = l₀ .γ glass/γ Hg

By putting the values of γ and length we get

x = 26 × 10⁻⁶ × 133/ 182 ×10⁻⁶

x = 19 cm

Answer 2

Explanation:

answer is given hope it will help you