Question

. The length of 100 mm bar of metal increases by 0.3 mm when subjected to a temperature
rise of 100 K. The coefficient of linear expansion of the metal is

Answer 1

Answer:

a=3*10^ ^ -5 K^ ^ -1 Explanation: let AL be the change in length of the bar of metal, AT be the change in temperature, L be the original length of the metal bar and let a be the coefficient of linear expansion. then, the coefficient of linear expansion is given by: alpha = Delta*L / (Delta*T * L); =(0.3*10^ ^ -3)/(100)(100*10^ ^ -3); =3*10^ ^ -5 K^ ^ -1 Therefore, the coefficient of linear expansion is 3*10^ ^ -5 K^ ^ -1

Answer 2

a = 3x10^-5 K^-1

Explanation:

let AL be the change in length of the bar of metal, AT be the change in temperature, L be the original length of the metal bar and let a be the coefficient of linear expansion.

then, the coefficient of linear expansion is given by:

a = AL/(ATXL)

= (0.3x10^-3)/(100)(100x10^-3)

= 3x10^-5 K^-1

Therefore, the coefficient of linear expansion is 3x10^-5 K^-1