Question

The coefficient of linear expansion of a metal is 2.5 x 10-71°F. Its value in degree celsius is L
a) 3 x 10-7
b) 1.5 x 10-7
c) 2.5 x 10-7
d) 4.5 x 10-
10-s​

Answer 1

Answer:

The value of coefficient of linear expansion in degree C is

$\alpha = 1.5 \times 10^{-7} per degree C$

Explanation:

As we know that coefficient of linear expansion is given as

$\alpha = \frac{\Delta L}{L\Delta T}$

so here it depends on the change in the temperature of the object

The relation between change in temperature in degree C and in degree F is given as

$\Delta C = \frac{5}{9}\Delta F$

so we have

$\alpha = 2.5 \times 10^{-7} per degree F$

$\alpha = 2.5 \times 10^{-7} \times \frac{5}{9} per degree C$

$\alpha = 1.5 \times 10^{-7} per degree C$

#Learn

Topic : Thermal expansion

https://brainly.in/question/8208184

Answer 2

$(d)4.5\times 10^{-7}/^{\circ} C$

Explanation:

Given:

Coefficient of linear expansion,$\alpha=2.5\times 10^{-7}^{\circ}$F

The relation between change in degree Celsius  and change in degree Fahrenheit is given by

$\Delta C=\frac{9}{5}\Delta F$

Using the formula

$\Delta C=\frac{9}{5}\times 2.5\times 10^{-7}$

$\Delta C=4.5\times 10^{-7}^{\circ}$

Hence, the value of coefficient of linear expansion of a metal is $4.5\times 10^{-7}/^{\circ} C$

Option d is true