When the temperature of a metal wire is increased from to , its length increases by . The percentage change in its mass density will be closest to:
Explanation for correct answer:
Step 1: Formula used:
We know that the coefficient of linear expansion is where is change in the length, l is the original length and is change in the temperature.
Step 2: Solution:
We know that co-efficient of volume expansion is three times the co-efficient of linear expansion i. e,==. The coefficient of linear expansion equation becomes,
If is the density of the material, is its mass and V the volume, We have,
here,
now
Hence, option (A) is the correct answer.