A Well-Known Technique for Achieving a Very Tight Fit Between $\circ$

Multiple Choice

A well-known technique for achieving a very tight fit between two components is to "expand by heating and then cool to shrink fit." For example,an aluminum ring of inner radius 5.98 cm needs to be firmly bonded to a cylindrical shaft of radius 6.00 cm (Measurements are at 20 ^$\circ$ C) .Calculate the minimum temperature to which the aluminum ring needs to be heated before it can be slipped over the shaft for fitting. (Coefficient of linear expansion for Al = 24 $\times$ 10^-6/K.)

A) 140 ^$\circ$ C
B) 850 ^$\circ$ C
C) 120 ^$\circ$ C
D) 160 ^$\circ$ C
E) 180 ^$\circ$ C