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A U-tube contains mercury with one limb at 0°C and the other at 100°C. The heights of the mercury columns are 60 cm at 0°C and 62 cm at 100°C. The coefficient of volume expansion of mercury per °C is :

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a

2/100

b

2/60

c

2/62

d

3.33 x 10-4

answer is D.

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Detailed Solution

V=V0(1+γ∆T) Al=Alo(1+γ∆T) ⇒ 62=60[1+γ(100)] ⇒ γ=260(100)=3.33×10-4/C o

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A U-tube contains mercury with one limb at 0°C and the other at 100°C. The heights of the mercury columns are 60 cm at 0°C and 62 cm at 100°C. The coefficient of volume expansion of mercury per °C is :