Question

A sheet of mass is 50cm
long and 8 cm broad at 0°c.
If the surface area at loo'c is
40157 cm² find the coefficient
of linear expansion​

Answer 1

Explanation:

the expansion of solid Along length is referred to as linear expansion

1. consider the length of the sheet to be, L1=50cm. let it temperature be , (theta)1=0degree celsius

given,(theta) 2= 100 degree celsius

area of sheet = 40157 cm²

now, increase in length of sheet be , x

: . (50+x) (8) = 40157 cm²

400+8x = 40157cm²

8x =( 40157-400) cm

x= (39757÷8) cm = 4969.625cm

: . L2 = 50 +x = 5019.625

now, coefficient of linear expansion , alpha =[ L2-L1] ÷[L1 (theta2- theta1) ] = ( 5019.625 - 50) ÷ [50 ( 100-0)]

= 4969.625÷ 5000 = 0.993925 degree celsius per columb

or 9.93925×10^-5 degree celsius per columb

THANK YOU