The coefficeint of linear expansion of solid in one direction is 0.03 x 10 to the power of negative 3 end exponent / ring operatorC and in directions perpendicular to it is 0.02 x 10 to the power of negative 3 end exponent/ring operatorC . Find the coefficient of cubical expansion.
1. 0.07 x 10 to the power of negative 3 end exponent
2. 0.05 x 10 to the power of negative 3 end exponent
3. 0.08 x 10 to the power of negative 3 end exponent
4. 0.01 x 10 to the power of negative 3 end exponent

Asked by Mamali Nanda | 19th Jul, 2016, 08:54: PM

Expert Answer:

begin mathsize 14px style The space coefficient space of space cubical space expansion space is space given space as space the space sum space of space coefficient space of space linear
expansions space along space the space three space perpendicular space sides.
therefore straight gamma equals straight alpha subscript straight x plus straight alpha subscript straight y plus straight alpha subscript straight z
therefore straight gamma equals 0.03 cross times 10 to the power of negative 3 end exponent plus 0.02 cross times 10 to the power of negative 3 end exponent plus 0.02 cross times 10 to the power of negative 3 end exponent
therefore straight gamma equals 0.07 cross times 10 to the power of negative 3 end exponent space divided by degree straight C end style

Answered by Romal Bhansali | 20th Jul, 2016, 11:12: AM