A liquid having a coefficient of volume expansion 
is filled in a cylindrical vessel made out of glass having coefficient of linear expansion 
. At room temperature, the level of liquid in the vessel is 
and when the temperature is increased by 
T, the level of liquid in the vessel becomes 
. What is the value of n? [Given, 
]
Text Solution
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3
Let us assume that the volume of the liquid in the vessel is vq and the area of cross-section of the vessel is A 0 , then
Similarly,
Using binomial approximation, we get
Neglecting 
, since it is insignificant as compared to 
, we get
So, n = 3
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