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10-1.Thermometry, Thermal Expansion and Calorimetry
normal
ગ્લિસરીનનું કદ પ્રસરણાંક $5 \times 10^{-4}k^{-1}$ છે. ગ્લિસરીનનું તાપમાન $40° C$ વધારવામાં આવે,તો તેની ઘનતામાં આંશિક ફેરફાર _______ થશે.
A
$0.01$
B
$0.015$
C
$0.02$
D
$0.025$
Solution
Given the value of coefficient of volume expansion of $5 \times 10^{-4} K ^{-1}$
As, original density of glycerine
$\rho=\rho_0(1+Y \Delta T)$
$\Rightarrow \rho-\rho_0=\rho_0 Y \Delta T$
Thus, fractional change in the density of glycerin for a rise of $40^{\circ} C$ in its temperature.
$\frac{\rho-\rho_0}{\rho_0}= Y \Delta T =5 \times 10^{-4} \times 40$
$200 \times 10^{-4}=0.020$
Standard 11
Physics
