Question

given data
t1=10°c
t2=100°c
R1=1ohm
R2=7
Alpha=?​

Answer 1

Given :

Initial temperature = 10°C

Final temperature = 100°C

Initial resistance = 1Ω

Final temperature = 7Ω

To Find :

Coefficient of linear expansion.

Solution :

❖ Coefficient of linear expansion,

$\dag\:\underline{\boxed{\bf{\purple{\alpha=\dfrac{R-R_o}{R_o\times\Delta T}}}}}$

By substituting the given values;

$\sf:\implies\:\alpha=\dfrac{7-1}{1\times(100-10)}$

$\sf:\implies\:\alpha=\dfrac{6}{90}$

$:\implies\:\underline{\boxed{\bf{\purple{\alpha=0.067\:^{\circ}C^{-1}}}}}$

Knowledge BoosteR :

• The three coefficients of expansion α, β and $\gamma$ are not constant for a given solid. Their values depend on the temperature range.
• For most of the solids, the value of α lies between 10‾⁶ to 10‾⁵ K‾¹ in the temperature range of 0 to 100°C.
• The value of α is more for ionic solids than that for non-ionic solids.
• The coefficient of volume expansion of solids and liquids is rather small, particularly very small for pyrex glass and invar.

Answer 2

Answer:

Knowledge Booster :-

The three coefficients of expansion α, β and \gammaγ re not constant for a given solid. Their values depend on the temperature range.

For most of the solids, the value of α lies between 10‾⁶ to 10‾⁵ K‾¹ in the temperature range of 0 to 100°C.

The value of α is more for ionic solids than that for non-ionic solids.

The coefficient of volume expansion of solids and liquids is rather small, particularly very small for pyrex glass and invar.